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ArticleOriginal scientific text

Title

Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains

Authors 1

Affiliations

  1. Department of Applied Mathematics, Olsztyn University of Agriculture and Technology, 10-957 Olsztyn-Kortowo, Poland

Abstract

We consider generalized solutions to the Dirichlet problem for linear elliptic second order equations in a domain bounded by a Dini-Lyapunov surface and containing a conical point. For such solutions we derive Dini estimates for the first order generalized derivatives.

Keywords

ENG
elliptic equations, nonsmooth domains, Dini continuous, smoothness of generalized solutions

Bibliography

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Annales Polonici Mathematici
1998/69/2
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Pages:
129-154
Main language of publication
English
Received
1997-06-12
Accepted
1997-10-15
Published
1998
Exact and natural sciences