Differential Harnack estimate of solutions to a class of semilinear parabolic equation

DOI10.7153/MIA-2022-25-24zbMath1490.35204OpenAlexW4285211164WikidataQ114012052 ScholiaQ114012052MaRDI QIDQ5078940

Hui Wu, Cuixian Kong

Publication date: 25 May 2022

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2022-25-24

zbMATH Keywords

semilinear parabolic equationsdifferential Harnack inequalityparabolic maximum principle

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Cites Work

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• Differential Harnack estimate for a semilinear parabolic equation on hyperbolic space
• On the critical exponent for reaction-diffusion equations
• On the parabolic kernel of the Schrödinger operator
• Existence and non-existence of global solutions for a semilinear heat equation
• Harnack estimate for the Endangered Species Equation
• Global existence and finite time blow-up for a parabolic system on hyperbolic space
• The Role of Critical Exponents in Blowup Theorems
• A FUJITA-TYPE RESULT FOR A SEMILINEAR EQUATION IN HYPERBOLIC SPACE

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