A viability theorem of stochastic semilinear evolution equation
A viability theorem of stochastic semilinear evolution equation
复制标题
随机半线性演化方程的可行性定理
DOI：
10.1007/s11856-011-0130-5
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Naoki Tanaka
中科院分区：
文献类型：
--
作者：
Yoshikazu Kobayashi;Naoki Tanaka;木下保;Y.Kimura;小原功任,田島慎一;K.Aoyama;伊東裕也;小原功任,田島慎一;Naoki Tanaka
讨论了随机半线性发展方程在唯一性函数耗散条件和随机次切条件下的生存性定理。我们的策略是将随机生存问题转化为随机半线性演化方程的演化算子的特征问题。主要定理是由于奥宾和大普拉托的随机微分方程的情况下，在Escherd的结果的推广。
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 ℝd.