Resumen
In this paper we revisit the mild-solution approach to second-order semi-linear PDEs of Hamilton-Jacobi type in infinite-dimensional spaces. We show that a well-known result on existence of mild solutions in Hilbert spaces can be easily extended to non-autonomous Hamilton-Jacobi equations in Banach spaces. The main tool is the regularizing property of Ornstein-Uhlenbeck transition evolution operators for stochastic Cauchy problems in Banach spaces with time-dependent coefficients.
Idioma original | Inglés estadounidense |
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Páginas (desde-hasta) | 55 - 76 |
Número de páginas | 21 |
Publicación | Journal Of Mathematics Research |
Volumen | 6 |
N.º | 4 |
Estado | Publicada - 2014 |