Geodesic
Hypercontractivity of solutions to Hamilton-Jacobi equations
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 4, pp. 733-743.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We show that solutions to some Hamilton-Jacobi Equations associated to the problem of optimal control of stochastic semilinear equations enjoy the hypercontractivity property.
Classification : 49L20, 60H15, 93E20
Keywords: Hamilton-Jacobi equation; stochastic semilinear equation; invariant measure; Log-Sobolev inequality; hypercontractivity 
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     author = {Goldys, Beniamin},
     title = {Hypercontractivity of solutions to {Hamilton-Jacobi} equations},
     journal = {Czechoslovak Mathematical Journal},
     pages = {733--743},
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     number = {4},
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     mrnumber = {1864039},
     zbl = {1001.60066},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_4_a5/}
}
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Goldys, Beniamin. Hypercontractivity of solutions to Hamilton-Jacobi equations. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 4, pp. 733-743. http://geodesic.mathdoc.fr/item/CMJ_2001__51_4_a5/