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POINTWISE C2,α ESTIMATES AT THE BOUNDARY FOR THE MONGE-AMPÈRE EQUATION.
- Source :
- Journal of the American Mathematical Society; Jan2013, Vol. 26 Issue 1, p63-99, 37p
- Publication Year :
- 2013
-
Abstract
- The article discusses pointwise C<superscript>2,α</superscript> estimates at boundary points under specific local conditions on the right hand side and boundary data. The result can be viewed as a boundary Schauder estimate for the Monge-Ampere equation which extends up to the boundary the pointwise interior C<superscript>2,α</superscript> estimate Caffarelli (C2). These estimates are reportedly important when dealing with fourth order Monge-Amp&grave;re type equations in geometry.
- Subjects :
- MATHEMATICS
GEOMETRY
EQUATIONS
MONGE-Ampere equations
PARTIAL differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 08940347
- Volume :
- 26
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 82442146