An example of nonuniqueness of the Cauchy problem

Dhungana, Bishnu P.

Proc. Japan Acad. Ser. A Math. Sci., Tome 81 (2005) no. 3, p. 37-39 / Harvested from Project Euclid

Résumé

Using Mehler kernel, we give an example of nontrivial solution of the homogeneous Cauchy problem of the Hermite heat equation, which is, for each $t$, bounded in the space variables.

Publié le : 2005-03-14
Classification: Hermite function, Mehler kernel, Hermite heat equation, 33R45

@article{1116442033,
     author = {Dhungana, Bishnu P.},
     title = {An example of nonuniqueness of the Cauchy problem},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {81},
     number = {3},
     year = {2005},
     pages = { 37-39},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1116442033}
}

Dhungana, Bishnu P. An example of nonuniqueness of the Cauchy problem. Proc. Japan Acad. Ser. A Math. Sci., Tome 81 (2005) no. 3, pp.  37-39. http://gdmltest.u-ga.fr/item/1116442033/