Integral estimates for the derivatives of solutions of homogeneous elliptic equations with reduced requirements on the smoothness of the boundary of the domain-Reference-Cited by-同舟云学术

Integral estimates for the derivatives of solutions of homogeneous elliptic equations with reduced requirements on the smoothness of the boundary of the domain

Published:1973 Issue:6 Volume:24 Page:687-689
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Fokht A. S.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01085425.pdf

Reference6 articles.

1. A. S. Fokht, ?Some imbedding theorems for solutions of an elliptic equation,? Tr. Matem. In-ta im. V. A. Steklova AN SSSR, 105 (1969).

2. A. S. Fokht, ?A lemma for computing variation with application to imbedding theorems, ? Dokl. Akad. Nauk SSSR,176, No. 3 (1967).

3. A. S. Fokht, ?Some inequalities for solutions of elliptic equations and their derivatives in the L2 metric near the boundary of the domain, ? Tr. Matern. In-ta im. V. A. Steklova AN SSSR,77 (1965).

4. I. P. Natanson, Theory of Functions of a Real Variable, Gostekhizdat, Moscow-Leningrad (1950).

5. G. M. Fikhtengol'ts, A Course in Differential and Integral Computation [in Russian], Vol. 3, Gostekhizdat, Moscow-Leningrad (1949).

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On boundary values of generalized solutions of elliptic systems;Ukrainian Mathematical Journal;1976

2. Integral bounds of solutions of linear homogeneous elliptic equations of any order in the metric Lp, p > 2;Ukrainian Mathematical Journal;1976

3. Estimates for solutions of homogeneous elliptic linear equations defined on bounded domains;Ukrainian Mathematical Journal;1975