Remarks on polynomial expansions of solutions of the heat equation in two space variables

DOI10.1080/00036818808839721zbMath0618.35048OpenAlexW1980154426WikidataQ58181188 ScholiaQ58181188MaRDI QIDQ4727532

Wolfgang Watzlawek

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839721

zbMATH Keywords

heat equationpolynomial solutionscontinuationanalytic solutionspolynomial expansionsconvergence of seriesBanach scales approach

Mathematics Subject Classification ID

Heat equation (35K05) Analyticity in context of PDEs (35A20) Continuation and prolongation of solutions to PDEs (35B60) Solutions to PDEs in closed form (35C05)

Related Items (2)

Remarks on analytic solutions of Leray-Volevich-coupled systems ⋮ On continuation via polynomials

Cites Work

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• Series expansions of solutions of the heat equation in \(n\) dimensions
• Zur Verallgemeinerung von Wärmepolynomen
• Analytic solutions of the heat equation
• Pseudo-Fokker Planck equations and hyperdifferential operators
• Analytic solutions of the heat equation and some formulas for laguerre and hermite polynomials

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