Partial differential equations of Sobolev-Galpern type
نویسندگان
چکیده
منابع مشابه
Partial Differential Equations of Sobolev-galpern Type
A mixed initial and boundary value problem is considered for a partial differential equation of the form Mu t (x, t)+Lu(x, £)=0, where M and L are elliptic differential operators of orders 2 m and 21, respectively, with m ^ I. The existence and uniqueness of a strong solution of this equation in H ι 0 (G) is proved by semigroup methods. We are concerned here with a mixed initial boundary value ...
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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 hol...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1969
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1969.31.787