A Cauchy problem of spatial-weighted reaction-diffusion equations

DOI10.1016/J.AML.2019.01.021zbMath1503.35092OpenAlexW2910796471WikidataQ128591888 ScholiaQ128591888MaRDI QIDQ1739419

Hongyan Lin, Bingchen Liu

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.01.021

zbMATH Keywords

Cauchy problemFujita exponentspatial-weighted function

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (6)

Blow-up solutions in a Cauchy problem of parabolic equations with spatial coefficients ⋮ Fujita exponents for a space-time weighted parabolic problem in bounded domains ⋮ Note on a parabolic problem with multi-coupled nonlinearity and space-time weighted functions ⋮ Fujita exponents for an inhomogeneous parabolic equation with variable coefficients ⋮ A Cauchy problem of parabolic equations with time-dependent coefficients ⋮ Fujita blow-up solutions for a Dirichlet problem of parabolic equations with variable coefficients

Cites Work

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• Time-weighted blow-up profiles in a nonlinear parabolic system with Fujita exponent
• Evolutionary weighted \(p\)-Laplacian with boundary degeneracy
• Asymptotic behavior of solutions to a class of semilinear parabolic equations with boundary degeneracy
• The critical exponents of parabolic equations and blow-up inRⁿ
• Blow-up rate estimates for semilinear parabolic systems
• The critical exponent of doubly singular parabolic equations
• Critical exponents of quasilinear parabolic equations

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