Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Application of Serrin's kernel parametrix to the uniqueness of $ L_1$ solutions of elliptic equations in the unit ball

Author: J. R. Diederich
Journal: Proc. Amer. Math. Soc. 47 (1975), 341-347
MSC: Primary 35J15
MathSciNet review: 0355308
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper it will be established that $ {L_1}$ solutions of elliptic partial differential equations, with $ \alpha $-Hölder continuous coefficients, which assume their boundary values mean continuously on the boundary of the $ N$-dimensional unit ball are uniquely determined. An additional application of the kernel will be to establish the Fatou radial limit theorem.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 35J15

Retrieve articles in all journals with MSC: 35J15

Additional Information

Keywords: Second order elliptic, uniqueness, mean continuity, radial limit
Article copyright: © Copyright 1975 American Mathematical Society

American Mathematical Society