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