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

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Bishnu Prasad Dhungana¹  Tadato Matsuzawa¹ 

[1] Department of Mathematics, Meijo University

关键词: Hermite functions;    Mehler kernel;    Hermite heat equation;    Cauchy Dirichlet problem.;   

DOI  :  10.3792/pjaa.86.45

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

Using the Mehler kernel, we give an existence result of the Cauchy Dirichlet problem for the Hermite heat equation with homogeneous Dirichlet boundary conditions and continuous and bounded Cauchy data vanishing at x =0.

【 授权许可】

Unknown