Asymptotic analysis for blow-up solutions in parabolic equations involving variable exponents

DOI10.1080/00036811.2011.632767zbMath1263.35048OpenAlexW1990117494WikidataQ58293545 ScholiaQ58293545MaRDI QIDQ4916341

Bingchen Liu, Fengjie Li

Publication date: 22 April 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.632767

zbMATH Keywords

blow-up rateblow-up sethomogeneous Dirichlet problemsFujita-type conditionslocal or nonlocal nonlinearities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44)

Related Items (14)

Qualitative study in a parabolic equation with nonstandard growth conditions and singular medium void ⋮ Asymptotic results and critical Fujita exponent in parabolic equations with nonlocal nonlinearity ⋮ Blow-up properties in the parabolic problems with anisotropic nonstandard growth conditions ⋮ Comparative analysis on the blow-up occurrence of solutions to Hadamard type fractional differential systems ⋮ Blow-up analyses in parabolic equations with anisotropic nonstandard damping source ⋮ Asymptotic estimates and Fujita exponents of blow-up solutions in weighted parabolic systems ⋮ Singular solutions for the fourth‐order parabolic equation with nonstandard growth conditions and absorption ⋮ Classification of singular solutions in a nonlinear fourth-order parabolic equation ⋮ Energy classification in a nonstandard fourth‐order parabolic equation with a Navier boundary condition ⋮ Blow-up of Solutions to Reaction-diffusion System with Nonstandard Growth Conditions ⋮ Classification of initial energy in a pseudo-parabolic equation with variable exponents ⋮ Blow-up analyses in reaction-diffusion equations with Fujita exponents ⋮ Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source ⋮ Time-weighted blow-up profiles in a nonlinear parabolic system with Fujita exponent

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