Weak Formulation of Singular Differential Expressions in Spaces of Functions with Minimal Derivatives
نویسنده
چکیده
encountered in the course of studying weak formulations of differential equations. Unlike the differential expressions, the theory behind the sesquilinear forms (1.2) is not yet fully developed. The most general treatment we have so far is for the case when such forms are semibounded or sectorial [10]. The classical Lax-Milgram theorem which is widely used in treatments involving the bilinear forms (1.2) assumes that the underlying form is positive and continuous. While such assumptions suffice to handle regular and some classes of singular differential expressions, they are not sufficient to handle the general singular expressions as they need not be semibounded. The importance of such a theory stems
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