An existence result of the Cauchy Dirichlet problem for the Hermite heat equation

DOI10.3792/PJAA.86.45zbMath1189.33015OpenAlexW2091514388MaRDI QIDQ963138

Bishnu Prasad Dhungana, Tadato Matsuzawa

Publication date: 8 April 2010

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.86.45

zbMATH Keywords

Hermite functionsHermite heat equationMehler kernelCauchy Dirichlet problem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Uniqueness result in the Cauchy Dirichlet problem via Mehler kernel

Cites Work

• An example of nonuniqueness of the Cauchy problem for the Hermite heat equation
• Partial differential equations. 3rd ed
• Mehler kernel approach to tempered distributions
• Characterization of Fourier hyperfunctions by solutions of the Hermite heat equation
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