Cauchy problem for fast diffusion equation with localized reaction

DOI10.1016/j.na.2010.12.006zbMath1213.35074OpenAlexW1966854603MaRDI QIDQ631724

Sining Zheng, Xue-Li Bai, Shuang-Shuang Zhou

Publication date: 14 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.12.006

zbMATH Keywords

blow-up rateone space dimensionblow-up setFujita exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (13)

Self-similar blow-up profiles for a reaction-diffusion equation with critically strong weighted reaction ⋮ Existence and nonexistence of global solutions for a semilinear reaction-diffusion system ⋮ Asymptotic behavior of the nonlocal diffusion equation with localized source ⋮ A nonlinear diffusion equation with reaction localized in the half-line ⋮ Anomalous self-similar solutions of exponential type for the subcritical fast diffusion equation with weighted reaction ⋮ Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension ⋮ Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction ⋮ Cauchy problem for the non-Newtonian polytropic filtration equation with a localized reaction ⋮ Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions ⋮ Blow up profiles for a reaction-diffusion equation with critical weighted reaction ⋮ Grow-up for a quasilinear heat equation with a localized reaction ⋮ Weighted \(L^p\) estimates and Fujita exponent for a nonlocal equation ⋮ Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction with linear growth

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