Local Regularity of Solutions of Sobolev- Galpern Partial Differential Equations
نویسنده
چکیده
Let M and L be elliptic differential operators of orders 2m and 2/, respectively, with m ̂ S. The existence and uniqueness of a solution to the abstract mixed initial and boundary value problem Mu(t) + Lu(t) = 0, u(0) = u0 was established for u0 given in the domain of the infinitesimal generator of a strongly-continuous semi-group. The purpose of this paper is to show that this semi-group is holomorphic and then obtain differentiability results for the solution and convergence of this solution to the initial function u0 as 110.
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تاریخ انتشار 2004