Life span of solutions for a semilinear heat equation with inhomogeneous source

DOI10.1016/j.jde.2022.12.028OpenAlexW4315490190MaRDI QIDQ2683674

Liting You, Jingxue Yin, Zhiyong Wang

Publication date: 14 February 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.12.028

zbMATH Keywords

Kaplan's first eigenvalue methodspace inhomogeneous source

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51)

Cites Work

• Unnamed Item
• Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity
• Blow-up theories for semilinear parabolic equations
• Existence and non-existence of global solutions for a semilinear heat equation
• Blow up and global existence of solutions to an inhomogeneous parabolic system
• A new critical phenomenon for semilinear parabolic problems
• Life span of solutions of the Cauchy problem for a semilinear heat equation
• Critical exponents of Fujita type for inhomogeneous parabolic equations and systems
• Second critical exponent and life span for pseudo-parabolic equation
• Life span and a new critical exponent for a degenerate parabolic equation
• Blow-up results for nonlinear parabolic equations on manifolds
• A semilinear pseudo-parabolic equation with initial data non-rarefied at \(\infty\)
• New critical exponents, large time behavior, and life span for a fast diffusive \(p\)-Laplacian equation with nonlocal source
• Life span of solutions with large initial data in a semilinear parabolic equation
• Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
• On the Cauchy Problem for Reaction-Diffusion Equations
• Extensions of Gronwall's inequality with quadratic growth terms and applications
• On the growth of solutions of quasi‐linear parabolic equations
• Life span of solutions for a semilinear parabolic problem with small diffusion

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