A priori estimates for global solutions of semilinear heat equations in \(\mathbb R^n\)

DOI10.1016/J.NA.2007.01.016zbMath1141.35346OpenAlexW2080237952MaRDI QIDQ2475138

Ruixiang Xing

Publication date: 10 March 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.01.016

zbMATH Keywords

superlinear and subcritical growth

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• On the boundedness of global solutions of abstract semilinear parabolic equations
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Signed solutions for a semilinear elliptic problem.
• Solutions globales d'equations de la chaleur semi lineaires.
• A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems
• Blow up rate for semilinear heat equations with subcritical nonlinearity
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