scholarly journals Invariant measures for the linear stochastic Cauchy problem and R-boundedness of the resolvent

2006 ◽  
Author(s):  
J. M. A. M. van. Neerven ◽  
L. Weis
Keyword(s):  
Cauchy Problem ◽  
Invariant Measures ◽  
Stochastic Cauchy Problem

scholarly journals ON STOCHASTIC GENERALIZED FUNCTIONS

2011 ◽  
Vol 14 (02) ◽  
pp. 237-260 ◽  
Author(s):  
PEDRO CATUOGNO ◽  
CHRISTIAN OLIVERA
Keyword(s):  
Cauchy Problem ◽  
Existence And Uniqueness ◽  
Generalized Functions ◽  
Uniqueness Of The Solution ◽  
Stochastic Cauchy Problem

In this work we introduce a new algebra of stochastic generalized functions. The regular Hida distributions in [Formula: see text] are embedded in this algebra via their chaos expansions. As an application, we prove the existence and uniqueness of the solution of a stochastic Cauchy problem involving singularities.

scholarly journals Space-Time Regularity of Solutions of the Parabolic Stochastic Cauchy Problem

2006 ◽  
Vol 24 (4) ◽  
pp. 843-869 ◽  
Author(s):  
Johanna Dettweiler ◽  
Lutz Weis ◽  
Jan van Neerven
Keyword(s):  
Cauchy Problem ◽  
Space Time ◽  
Regularity Of Solutions ◽  
Stochastic Cauchy Problem
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