Blow-up and global existence for solutions to the porous medium equation with reaction and slowly decaying density
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Publication:778241
DOI10.1016/j.jde.2020.06.017zbMath1441.35073arXiv1911.06043OpenAlexW3035949561MaRDI QIDQ778241
Publication date: 2 July 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.06043
Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44) Comparison principles in context of PDEs (35B51) Quasilinear parabolic equations (35K59)
Related Items (8)
Blow-up and global existence for the inhomogeneous porous medium equation with reaction ⋮ Extinction of solutions to a diffusion problem with nonlinear sources and variable density ⋮ Global existence and blow-up of solutions to the porous medium equation with reaction and singular coefficients ⋮ Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction‐diffusion equations ⋮ Fujita-type results for the degenerate parabolic equations on the Heisenberg groups ⋮ Blow-up and global existence for solutions to the porous medium equation with reaction and fast decaying density ⋮ Smoothing effects and infinite time blowup for reaction-diffusion equations: an approach via Sobolev and Poincaré inequalities ⋮ Global existence of solutions and smoothing effects for classes of reaction-diffusion equations on manifolds
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