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

作者：Dhungana Bishnu Prasad^*; Matsuzawa Tadato

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2010, 86(2): 45-47.

DOI：10.3792/pjaa.86.45

• Hermite functions
• Mehler kernel
• Hermite heat equation
• Cauchy Dirichlet problem

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.

• 出版日期2010-2