A Unique Solution of Stochastic Partial Differential Equations with Non-Local Initial condition

Mahmoud Mohammed Mostafa El-Borai, A. Tarek S.A.
2019 JOURNAL OF ADVANCES IN MATHEMATICS  
In this paper, we shall discuss the uniqueness "pathwise uniqueness" of the solutions of stochastic partial differential equations (SPDEs) with non-local initial condition,We shall use the Yamada-Watanabe condition for "pathwise uniqueness" of the solutions of the stochastic differential equation; this condition is weaker than the usual Lipschitz condition. The proof is based on Bihari'sinequality.
doi:10.24297/jam.v16i0.8018 fatcat:s5wnvfvqmfcw5ega4wnbsw4thq