Fujita phenomenon in higher-order parabolic equation with nonlocal term

DOI10.1080/00036811.2017.1298744zbMath1391.35044OpenAlexW2593748055MaRDI QIDQ4638908

Qingyan Yin, Chunxiao Yang, Fei-Yu Ji

Publication date: 2 May 2018

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

Full work available at URL: https://doi.org/10.1080/00036811.2017.1298744

zbMATH Keywords

global solutionsnonlocal sourcehigher-order diffusion

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for higher-order parabolic equations (35K30) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (1)

Fast diffusion in a porous building material with a nonlocal source

Cites Work

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• On the growing problem for semilinear heat equations
• Multidimensional nonlinear diffusion arising in population genetics
• The role of critical exponents in blow-up theorems: The sequel
• The Role of Critical Exponents in Blowup Theorems
• A general approach to critical Fujita exponents in nonlinear parabolic problems
• Existence and blow-up for higher-order semilinear parabolic equations: Majorizing order-preserving operators
• On nonexistence of global solutions of some semilinear parabolic differential equations

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