Parabolic potential theory

DOI10.1016/0022-0396(82)90091-2zbMath0534.31005OpenAlexW2016352319MaRDI QIDQ790297

Robert P. Kaufman, Jang-Mei G. Wu

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90091-2

zbMATH Keywords

heat equationpolar setsharmonic measuresparabolic potential theoryboundary maximum principleFatou-type theorem

Mathematics Subject Classification ID

Heat equation (35K05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (17)

Thinness and boundary behaviour of potentials for the heat equation ⋮ A Hausdorff measure classification of polar sets for the heat equation ⋮ Harmonic measure and heat equation ⋮ Dirichlet problem of heat equation for \(C^ 2\) domains ⋮ A counterexample in parabolic potential theory ⋮ On heat capacity and parabolic measure ⋮ Brownian motion and thermal capacity ⋮ Credit default prediction and parabolic potential theory ⋮ CALORIC MEASURE FOR ARBITRARY OPEN SETS ⋮ Boundary Behavior of Positive Solutions of the Heat Equation on a Semi-Infinite Slab ⋮ An Example on Null Sets of Parabolic Measures ⋮ Caloric Measure Null Sets ⋮ Semipolar sets and intrinsic Hausdorff measure ⋮ Sur la convergence radiale des potentiels associés à l'équation de Helmholtz ⋮ UNIQUENESS OF EXTENDABLE TEMPERATURES ⋮ Uniqueness of kernel functions of the heat equation ⋮ Brownian sheet images and Bessel-Riesz capacity

Cites Work

• Fine convergence and parabolic convergence for the Helmholtz equation and the heat equation
• Comparisons of Kernel functions, boundary Harnack principle and relative Fatou theorem on Lipschitz domains
• Uniqueness and representation theorems for the inhomogeneous heat equation
• A Probability Approach to the Heat Equation
• A RELATIVIZED FATOU THEOREM
• On Parabolic Measures and Subparabolic Functions
• Erratum to "On Parabolic Measures and Subparabolic Functions"
• Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation
• Thermal Capacity
• Temperatures in Several Variables: Kernel Functions, Representations, and Parabolic Boundary Values
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