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

• Autorzy: Mikhail Borsuk
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

elliptic equations; nonsmooth domains; Dini continuous; smoothness of generalized solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 69
• Numer: 2
• Strony: 129-154

Daty

wydano

1998

otrzymano

1997-06-12

poprawiono

1997-10-15

poprawiono

1997-12-15

Twórcy

autor

Mikhail Borsuk

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

Bibliografia

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