Uniqueness result in the Cauchy Dirichlet problem via Mehler kernel

DOI10.1007/S10773-014-2100-2zbMath1298.35098OpenAlexW2070366767MaRDI QIDQ458536

Bishnu Prasad Dhungana

Publication date: 8 October 2014

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-014-2100-2

zbMATH Keywords

Hermite functionsHermite heat equationMehler kernel

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)

Cites Work

• Unnamed Item
• An example of nonuniqueness of the Cauchy problem for the Hermite heat equation
• An existence result of the Cauchy Dirichlet problem for the Hermite heat equation
• Partial differential equations. 3rd ed
• Mehler kernel approach to tempered distributions

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