A note on the paper by Qi S. Zhang: A priori estimates and the representation formula for all positive solutions to a semilinear parabolic problem

DOI10.1006/JMAA.1999.6648zbMath0954.35080OpenAlexW2025254747MaRDI QIDQ1974237

Philippe Souplet

Publication date: 2 January 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6648

zbMATH Keywords

heat potentialRiesz decomposition theoremGauss-Weierstrass integralWidder representation theorem

Mathematics Subject Classification ID

Heat equation (35K05) Initial value problems for second-order parabolic equations (35K15) Connections of harmonic functions with differential equations in higher dimensions (31B35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• Unnamed Item
• Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
• Existence and non-existence of global solutions for a semilinear heat equation
• A priori estimates and the representation formula for all positive solutions to a semilinear parabolic problem
• Positive Temperatures on an Infinite Rod

This page was built for publication: A note on the paper by Qi S. Zhang: A priori estimates and the representation formula for all positive solutions to a semilinear parabolic problem