Resumen
We study an optimal relaxed control problem for a class of semilinear stochastic PDEs on Banach spaces perturbed by multiplicative noise and driven by a cylindrical Wiener process. The state equation is controlled through the nonlinear part of the drift coefficient which satisfies a dissipative-type condition with respect to the state variable. The main tools of our study are the factorization method for stochastic convolutions in UMD type-2 Banach spaces and certain compactness properties of the factorization operator and of the class of Young measures on Suslin metrizable control sets.
Idioma original | Inglés estadounidense |
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Páginas (desde-hasta) | 2664-2703 |
Número de páginas | 40 |
Publicación | SIAM Journal on Control and Optimization |
Volumen | 51 |
N.º | 3 |
DOI | |
Estado | Publicada - 2013 |
Áreas temáticas de ASJC Scopus
- Control y optimización
- Matemáticas aplicadas