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Solutions of stochastic partial differential equations as extremals of convex functionals.
- Source :
- Acta Mathematica Hungarica; Oct2005, Vol. 109 Issue 1/2, p127-145, 19p
- Publication Year :
- 2005
-
Abstract
- Stochastic evolution equations with monotone operators in Banach spaces are considered. The solutions are characterized as minimizers of certain convex functionals. The method of monotonicity is interpreted as a method of constructing minimizers to these functionals, and in this way solutions are constructed via Euler-Galerkin approximations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02365294
- Volume :
- 109
- Issue :
- 1/2
- Database :
- Complementary Index
- Journal :
- Acta Mathematica Hungarica
- Publication Type :
- Academic Journal
- Accession number :
- 19256717
- Full Text :
- https://doi.org/10.1007/s10474-005-0237-4