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):

Report Date:

1968-04-24

Pagination or Media Count:

62.0

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE