Ítem
Solo Metadatos
Optimal relaxed control of dissipative stochastic partial differential equations in Banach spaces
Título de la revista
Autores
Brze?niak Z.
Serrano Perdomo, Rafael Antonio
Resumen
Abstract
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. © 2013 Society for Industrial and Applied Mathematics.
Palabras clave
Keywords
Control set , Multiplicative cylindrical noise , Relaxed control , Stochastic PDE , Young measure , Convolution , Equations of state , Factorization , Nonlinear equations , Optimization , Stochastic systems , Banach spaces , Multiplicative cylindrical noise , Relaxed control , Stochastic convolution , Stochastic PDE , Suslin control set , UMD type-2 Banach spaces , Young measures
