Existence results for linear evolution equations of parabolic type
Ta, Ton Viet
الأصل · EN
We study both strict and mild solutions to parabolic evolution equations of the form dX+AXdt=F(t)dt+G(t)dW(t) in Banach spaces. First, we explore the deterministic case. The maximal regularity of solutions has been shown. Second, we investigate the stochastic case. We prove existence of strict solutions and show their space-time regularity. Finally, we apply our abstract results to a stochastic heat equation.
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