SCHAUDER ESTIMATES UNDER INCOMPLETE HOLDER CONTINUITY ASSUMPTIONS
Abstract
The possibility of obtaining a priori pointwise estimates involving Holder difference quotients is explored with respect to some of the independent variables. The first step is the derivation of certain potential theoretic results. These are applied to functions given convolutions with a fundamental solution to an elliptic operator as kernel, and to solutions of the basic boundary value problem with compact support when the operators have constant coefficients and the domain is a half-space. The results are extended to a class of problems with variable coefficients and domains with curved boundaries. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 15, 1961
- Accession Number
- AD0259148
Entities
People
- Paul Fife
Organizations
- Stanford University