Premium
Stochastic Differential Equations with Nonlinear Semigroups
Author(s) -
Brandau M.
Publication year - 2002
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200211)82:11/12<737::aid-zamm737>3.0.co;2-y
Subject(s) - uniqueness , nonlinear system , mathematics , semigroup , stochastic differential equation , differential equation , mathematical analysis , physics , quantum mechanics
The purpose of this article is to investigate the solution of a nonlinear stochastic evolution equation by using the theory of nonlinear semigroups. A concept of weak solutions is introduced and the existence, uniqueness, and continuity of this solution is shown.