A Singular Parabolic Initial-Boundary Value Problem in a Noncylindrical Domain

DOI10.1137/0511032zbMath0435.35046OpenAlexW1971553209MaRDI QIDQ3874617

Vasilios Alexiades

Publication date: 1980

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0511032

zbMATH Keywords

initial-boundary value problemGreen's functiongeneralized solutionnon-cylindrical domainprobability theoryFourier problemgeneralized and classical solutionsaxially symmetric problemsrepresentation of the classical solutionsingular parabolic operatorsweighted Hilbert-Sobolev spaces

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Integral representations of solutions to PDEs (35C15)

Related Items (3)

Uniqueness for Singular Backward Parabolic Inequalities ⋮ A singular Fourier problem with nonlinear radiation in a noncylindrical domain ⋮ Generalized axially symmetric heat potentials and singular parabolic initial boundary value problems

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