A viability theorem of stochastic semilinear evolution equations

作者：Tanaka Naoki^*

来源：Israel Journal of Mathematics, 2011, 186(1): 1-43.

DOI：10.1007/s11856-011-0130-5

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 a"e (d) .

• 出版日期2011-11