The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation | Paper Citation Record

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This paper cites Rates of convergence to non-degenerate asymptotic profiles for fast diffusion via energy methods.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Rates of convergence to non-degenerate asymptotic profiles for fast diffusion via energy methods

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The porous medium equation

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation A comparison principle for the porous medium equation and its consequences

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Barbu.Nonlinear differential equations of monotone types in Banach spaces

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Nonlinear evolution equations in Banach spaces

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Semilinear diffusion equations on infinite graphs: the dissipative and Lipschitz cases

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The fractional Porous Medium Equation on graphs

Reference 8

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This paper cites Phragm\`en-Lindel\"of type theorems for parabolic equations on infinite graphs.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Phragm\`en-Lindel\"of type theorems for parabolic equations on infinite graphs

Reference 9

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This paper cites On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs

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This paper cites Laplacian cut-offs, porous and fast diffusion on manifolds and other applications.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Laplacian cut-offs, porous and fast diffusion on manifolds and other applications

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This paper cites The generalized porous medium equation on graphs: exis- tence and uniqueness of solutions withℓ 1 data.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The generalized porous medium equation on graphs: exis- tence and uniqueness of solutions withℓ 1 data

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The Cauchy-Dirichlet problem for the fast diffusion equation on bounded do- mains

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations

Reference 14

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Cauchy-Dirichlet problems for the porous medium equation

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Aronson–B ´enilan estimates for the fast diffusion equation under the Ricci flow

Reference 16

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Asymptotics near extinction for nonlinear fast diffusion on a bounded domain

Reference 17

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Near field asymptotic behavior for the porous medium equation on the half-line

Reference 18

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Near-field asymptotics for the porous medium equation in exterior do- mains. The critical two-dimensional case

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Generation of semi-groups of nonlinear transformations on general Banach spaces

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Maximum principle for parabolic inequalities and the heat flow on open manifolds

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Aronson–B ´enilan gradient estimates for porous medium equations under lower bounds ofN- weighted Ricci curvature withN <0

Reference 22

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Parabolicity and stochastic completeness of manifolds in terms of the Green formula

Reference 23

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The porous medium equation on noncompact manifolds with non- negative Ricci curvature: A Green function approach

Reference 24

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Smoothing effects for the porous medium equation on Cartan–Hadamard mani- folds

Reference 25

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation A porous medium equation with rough weights: sharp Widder theory

Reference 26

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The porous medium equation with large initial data on negatively curved Riemannian manifolds

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The porous medium equation with measure data on negatively curved Riemannian manifolds

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The porous medium equation on Riemannian manifolds with negative curvature. The large-time behaviour

Reference 29

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case

Reference 30

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Croissance polynomiale et p ´eriodes des fonctions harmoniques

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Global properties of Dirichlet forms in terms of Green’s formula

Reference 32

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs

Reference 33

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The existence of extremal functions for discrete Sobolev inequalities on lattice graphs

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Stochastic completeness for graphs with curvature dimension conditions

Reference 35

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Time regularity and long-time behavior of parabolicp-Laplace equations on infinite graphs

Reference 36

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Bubbling and extinction for some fast diffusion equations in bounded domains

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Extinction profiles for the Sobolev critical fast diffusion equation in bounded domains. I. One bubble dynamics

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Optimal boundary regularity for fast diffusion equations in bounded domains

Reference 39

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Regularity of solutions to the Dirichlet problem for fast diffusion equations

Reference 40

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Singular extinction profiles of solutions to some fast diffusion equations

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Dirichlet forms and stochastic completeness of graphs and subgraphs

Reference 42

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Unbounded Laplacians on graphs: basic spectral properties and the heat equation

Reference 43

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Keller, D

Reference 44

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Gaussian upper bounds, volume doubling and Sobolev inequalities on graphs

Reference 45

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Flat fronts and stability for the porous medium equation

Reference 46

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Perron’s method for the porous medium equation

Reference 47

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Porous medium equations with reactions on a metric graph

Reference 48

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This paper cites Lakshmikantham and S.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Lakshmikantham and S

Reference 49

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Gradient flows of generalized relative entropy and functional inequalities on graphs

Reference 50

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Porous media equation on locally finite graphs

Reference 51

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This paper cites A generalized conservation property for the heat semigroup on weighted man- ifolds.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation A generalized conservation property for the heat semigroup on weighted man- ifolds

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Ollivier Ricci curvature for general graph Laplacians: heat equation, Laplacian comparison, non-explosion and diameter bounds

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This paper cites Nonlinear Integral Inequalities I.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Nonlinear Integral Inequalities I

Reference 54

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This paper cites Gradient estimates for porous medium equations under the Ricci flow.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Gradient estimates for porous medium equations under the Ricci flow

Reference 55

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Unresolved cited work

Reference 56

Resolution: verified exact; doi, observed 2026-08-01T03:53:37.614296Z

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Observation 6148876a-8d33-44b0-9703-0d16d4ad2378 · outbound

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Unresolved cited work

Reference 57

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Unresolved cited work

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Unresolved cited work

Reference 59

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Observation 223ef9a3-c278-4700-83a9-2b4684852575 · outbound

This paper cites Eigenvalue estimates for the fractional Laplacian on lattice subgraphs.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Eigenvalue estimates for the fractional Laplacian on lattice subgraphs

Reference 60

Resolution: verified exact; local_arxiv, observed 2026-08-01T03:53:37.493454Z

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Some gradient estimates and Liouville properties of the fast diffusion equation on Riemannian manifolds

Reference 61

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Observation 77f26677-0623-412e-a4c2-69d2b3ccf3d9 · outbound

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Woess.Random walks on infinite graphs and groups

Reference 62

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Observation 68bbe289-aedd-4bef-a476-a164b982c890 · outbound

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Heat kernel and essential spectrum of infinite graphs

Reference 63

Resolution: verified exact; doi, observed 2026-08-01T03:53:37.380226Z

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Observation 333ef06e-ae8d-4810-86d7-a919db53900f · outbound

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The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Stochastic Completeness of Graphs

Reference 64

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Observation 74f6e501-3432-4477-8789-9b8a02fb6d6c · outbound

This paper cites Fractional Laplace operator and related Schr¨odinger equations on locally finite graphs.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation Fractional Laplace operator and related Schr¨odinger equations on locally finite graphs

Reference 65

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