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摘要
In this paper, we consider non-autonomous Ornstein-Uhlenbeck operators in smooth exterior domains Omega subset of R(d) subject to Dirichlet boundary conditions. Under suitable assumptions on the coefficients, the solution of the corresponding non-autonomous parabolic Cauchy problem is governed by an evolution system {P(Omega)(t, s)}0 <= s <= t on L(p)(Omega) for 1 < p < infinity. Furthermore, L(p)-estimates for spatial derivatives and L(p)-L(q) smoothing properties of P(Omega)(t, s), 0 <= s <= t, are obtained.
- 出版日期2011-4
