An existence result of the Cauchy Dirichlet problem for the Hermite heat equation
Dhungana, Bishnu Prasad ; Matsuzawa, Tadato
Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, p. 45-47 / Harvested from Project Euclid
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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.
Publié le : 2010-02-15
Classification:  Hermite functions,  Mehler kernel,  Hermite heat equation,  Cauchy Dirichlet problem,  33C45,  35K15 
@article{1265033222,
     author = {Dhungana, Bishnu Prasad and Matsuzawa, Tadato},
     title = {An existence result of the Cauchy Dirichlet problem for the Hermite heat equation},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {86},
     number = {1},
     year = {2010},
     pages = { 45-47},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1265033222}
}

Dhungana, Bishnu Prasad; Matsuzawa, Tadato. An existence result of the Cauchy Dirichlet problem for the Hermite heat equation. Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, pp.  45-47. http://gdmltest.u-ga.fr/item/1265033222/