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On Optimal Estimates for Some Oblique Derivative Problems

✍ Scribed by Carlos E. Kenig; Nikolai S. Nadirashvili

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
371 KB
Volume
187
Category
Article
ISSN
0022-1236

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✦ Synopsis

We establish optimal uniform estimates in the maximum norm, for solutions of Poisson's equation, with right hand side in Lebesgue spaces, under mixed Dirichletoblique derivative boundary conditions, where the oblique vector is required to remain uniformly transverse, and the estimates depend only on the transversality constant, but not on the regularity of the oblique vector.

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