Liouville theorems for heat functions

DOI10.1080/03605308608820476zbMath0651.35035OpenAlexW2025780406MaRDI QIDQ3796070

H. S. Bear

Publication date: 1986

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308608820476

zbMATH Keywords

Liouville-type theoremharmonicnon-negative solutionslower half-planeparabolic coordinatesHardy normsclassical heat equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Heat equation (35K05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (4)

Liouville rigidity and time-extrinsic Harnack estimates for an anisotropic slow diffusion ⋮ Liouville theorems for a class of linear second-order operators with nonnegative characteristic form ⋮ Liouville theorems in halfspaces for parabolic hypoelliptic equations ⋮ Liouville's theorem and Laurent series expansions for solutions of the heat equation

Cites Work

• Unnamed Item
• A note on the heat equation
• Extension à l'équation de la chaleur d'un théorème de A. Harnack
• Hardy Spaces of Heat Functions
• A harnack inequality for parabolic differential equations

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