Singular and quasi-bounded functions associated with the heat equation

DOI10.1007/BF01160211zbMath0632.31007MaRDI QIDQ1095282

H. B. Thompson, J. H. Chabrowski

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173952

zbMATH Keywords

kernel functionpotentialsnonnegative functionsquasi-boundednessnonnegative temperaturesingular and quasi-bounded functionssuperthermic majorants

Mathematics Subject Classification ID

Heat equation (35K05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Cites Work

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• Harmonic spaces and their potential theory
• Classes of Subtemperatures on Infinite Strips
• On the Definition of a Subtemperature
• Algebraic potential theory
• Initial Singularities of Gauss-Weierstrass Integrals and their Relations to Laplace Transforms and Hausdorff Measures
• Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation
• Thermal Capacity
• Quasi-Bounded and Singular Functions
• Temperatures in Several Variables: Kernel Functions, Representations, and Parabolic Boundary Values
• A Theory of Subtemperatures in Several Variables
• Positive Temperatures on an Infinite Rod

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