Establishes refined L^p-based blow-up criteria for triangular SKT cross-diffusion systems via hierarchical structure and tame Sobolev estimates, and proves global existence of non-negative strong solutions for two-species logistic systems in d ≤ 2.
Regularity for a class of non-lin ear elliptic systems
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Global strong pathwise well-posedness established for stochastically forced 2D incompressible Navier-Stokes coupled to 1D damped Kirchhoff plate via velocity continuity and stress balance on fixed interface.
Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.
Establishes local and global existence of solutions to the semilinear damped wave equation with polynomial nonlinearity for slowly decaying non-L2 initial data via L^p-L^q estimates and fractional Leibniz rule in homogeneous Besov spaces.
Minimizers of p-growth variational problems with strongly A-quasiconvex integrands and linear constant-rank constraints are partially continuous and higher integrable.
citing papers explorer
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Refined blow-up criteria and global solutions for triangular cross-diffusion systems
Establishes refined L^p-based blow-up criteria for triangular SKT cross-diffusion systems via hierarchical structure and tame Sobolev estimates, and proves global existence of non-negative strong solutions for two-species logistic systems in d ≤ 2.
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Stochastically forced Navier-Stokes equations interacting with an elastic structure
Global strong pathwise well-posedness established for stochastically forced 2D incompressible Navier-Stokes coupled to 1D damped Kirchhoff plate via velocity continuity and stress balance on fixed interface.
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Weyl asymptotic formulas in the nilpotent Lie group setting
Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.
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Existence of solutions to the semilinear damped wave equation with non-$L^2$ slowly decaying data : polynomial nonlinearity case
Establishes local and global existence of solutions to the semilinear damped wave equation with polynomial nonlinearity for slowly decaying non-L2 initial data via L^p-L^q estimates and fractional Leibniz rule in homogeneous Besov spaces.
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Partial regularity and higher integrability for A-quasiconvex variational problems
Minimizers of p-growth variational problems with strongly A-quasiconvex integrands and linear constant-rank constraints are partially continuous and higher integrable.