Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures

DOI10.1016/0022-247X(79)90152-5zbMath0409.35050OpenAlexW2092007270MaRDI QIDQ1258893

David Colton, Jet Wimp

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90152-5

zbMATH Keywords

Hermite PolynomialsHeat ConductionAsymptotic BehaviourFundamental SolutionPseudoparabolic Equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic expansions of solutions to PDEs (35C20) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

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Cites Work

• Some remarks on uniform asymptotic expansions for Bessel functions
• An axiomatic foundation for continuum thermodynamics
• On a theory of heat conduction involving two temperature
• The construction of solutions to the heat equation backward in time
• 24.—The Solution of Initial-Boundary Value Problems for Pseudoparabolic Partial Differential Equations
• The exterior dirichlet problem for^†
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