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A viability theorem of stochastic semilinear evolution equations
Authors:Naoki Tanaka
Affiliation:1.Department of Mathematics,Faculty of Science Shizuoka University,Shizuoka,Japan
Abstract:A viability theorem of stochastic semilinear evolution equations is discussed under a dissipative condition in terms of uniqueness functions and a stochastic subtangential condition. Our strategy is to interpret a stochastic viability problem into a characterization problem of evolution operators associated with stochastic semilinear evolution equations. The main theorem is a generalization of the results due to Aubin and Da Prato in the case of stochastic differential equations in ℝ d .
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