Accession Number : AD0671577
Title : A PRIORI ESTIMATE AND SOME PROPERTIES OF SOLUTIONS OF ELLIPTIC AND PARABOLIC EQUATIONS.
Descriptive Note : APL Library bulletin,
Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB
Personal Author(s) : Kruzhkov,S. N.
Report Date : 24 APR 1968
Pagination or Media Count : 62
Abstract : In this paper we establish a priori estimates and costudy certain qualitative properties of generalized solutions of second-order elliptic and parabolic equations. The first fundamental results in this direction for equations with many independent variables were established in the papers by de Giorgi and Nash. A refined new approach to the consideration of similar problems and, in particular, a new proof of the de Giorgio theorem were given by Moser. In the present paper the method proposed by Moser is expanded.
Descriptors : (*PARTIAL DIFFERENTIAL EQUATIONS, PROBLEM SOLVING), FUNCTIONAL ANALYSIS, SET THEORY, INEQUALITIES, THEOREMS, USSR
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE