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

Dhungana BP; Matsuzawa T

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

机译：Hermite热方程的Cauchy Dirichlet问题的存在性结果

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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.

机译：使用Mehler核，我们给出了具有均匀Dirichlet边界条件且连续且有界Cauchy数据在x = 0时消失的Hermite热方程的Cauchy Dirichlet问题的存在结果。

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来源
《Proceedings of the Japan Academy, Series A. Mathematical Sciences》 |2010年第2期|共3页
作者
Dhungana BP; Matsuzawa T;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Hermite functions; Mehler kernel; Hermite heat equation; Cauchy Dirichlet problem;

机译：Hermite函数;Mehler核;Hermite热方程;Cauchy Dirichlet问题;

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专利

1. An existence result of the Cauchy Dirichlet problem for the Hermite heat equation [J] . Dhungana BP, Matsuzawa T Proceedings of the Japan Academy, Series A. Mathematical Sciences . 2010,第2期

机译：Hermite热方程的Cauchy Dirichlet问题的存在性结果
2. An existence result of the Cauchy Dirichlet problem for the Hermite heat equation [J] . Dhungana BP, Matsuzawa T Proceedings of the Japan Academy, Series A. Mathematical Sciences . 2010,第2期

机译：Hermite热方程的Cauchy Dirichlet问题的存在性结果
3. An existence result of the Cauchy Dirichlet problem for the Hermite heat equation [J] . Bishnu Prasad Dhungana, Tadato Matsuzawa Proceedings of the Japan Academy, Series A. Mathematical Sciences . 2010,第2期

机译：Hermite热方程的Cauchy Dirichlet问题的存在结果
4. On Numerical Solution to the Cauchy-Dirichlet Problem for the Heat Equation [C] . Alexander N. Kozhevnikov International MultiConference of Engineers and Computer Scientists . 2007

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5. Existence and singularity of solutions for Cauchy problems of some partial differential equations. [D] . Song, Kyungwoo. 2002

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7. Random data Cauchy theory for supercritical wave equations II : A global existence result [O] . Burq, N., Tzvetkov, N. 2007

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

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