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A priori estimate for convex solutions to special Lagrangian equations and its application
Author(s) -
Chen Jingyi,
Yuan Yu,
Warren Micah
Publication year - 2009
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20261
Subject(s) - a priori and a posteriori , mathematics , lagrangian , regular polygon , hessian matrix , viscosity , viscosity solution , domain (mathematical analysis) , hessian equation , mathematical analysis , geometry , partial differential equation , physics , philosophy , epistemology , quantum mechanics , first order partial differential equation
We derive a priori interior Hessian estimates for special Lagrangian equations when the potential is convex. When the phase is very large, we show that continuous viscosity solutions are smooth in the interior of the domain. © 2008 Wiley Periodicals, Inc.