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REGULARITY ESTIMATES FOR THE OBLIQUE DERIVATIVE PROBLEM ON NON-SMOOTH DOMAINS （II）

Guanpengfei、Eric T. Sawyer

1995Acta Scientiarum Naturalium Universitatis SunyatseniComputer Science被引 1

摘要

The authors consider the existence and regularity of the oblique derivative problem:{Pu=f inΩ,^→tu=g onэΩ where P is a soc~ad order elliptic differential operator on R^n, Ω is a bounded domain in R^n and ^→t is a unit vector field on the bouudary of Ω (which may be tangential to the boundary). Allabove are assumed with limited smoothnees. The authors show that solution u has an ellipticgain from f in Holder spaces (Theorem 1.1). The authors obtain L^n regualrity of solutionin Tbeorem 1.3, which generalizes the results in [7] to the limited smooth case. Some of the application nonlinear problems are also discussed.

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