Existence, uniqueness, and regularity of mild solutions are established for semilinear diffusion equations on infinite weighted graphs in the dissipative and Lipschitz cases via implicit Euler discretization and Dirichlet subgraph exhaustion, with by-product results for the stationary equation and a
A complete characterization of extinction versus positivity of solutions to a parabolic problem of p-Laplacian type in graphs
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Semilinear Diffusion Equations on Infinite Graphs: The Dissipative and Lipschitz Cases
Existence, uniqueness, and regularity of mild solutions are established for semilinear diffusion equations on infinite weighted graphs in the dissipative and Lipschitz cases via implicit Euler discretization and Dirichlet subgraph exhaustion, with by-product results for the stationary equation and a