A PRIORI ESTIMATE AND SOME PROPERTIES OF SOLUTIONS OF ELLIPTIC AND PARABOLIC EQUATIONS.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 24, 1968
- Accession Number
- AD0671577
Entities
People
- S. N. Kruzhkov
Organizations
- Johns Hopkins University Applied Physics Laboratory