We study a mixed boundary value problem for elliptic second order equations obtaining optimal regularity results under weak assumptions on the data. We also consider the dependence of the solution with respect to perturbations of the boundary sets carrying the Dirichlet and the Neumann conditions.

Regularity and perturbation results for mixed second order elliptic problems

SAVARE', GIUSEPPE
1997-01-01

Abstract

We study a mixed boundary value problem for elliptic second order equations obtaining optimal regularity results under weak assumptions on the data. We also consider the dependence of the solution with respect to perturbations of the boundary sets carrying the Dirichlet and the Neumann conditions.
1997
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
Sì, ma tipo non specificato
Inglese
Internazionale
STAMPA
22
869
899
2008 Impact Factor: 1.242 Ranking: 30/175 in Mathematics, Applied; 20/214 in Mathematics 2008 5-Year Impact Factor: 1.329 This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the disgression of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.
Mixed boundary value problems; Interpolation; Optimal estimates and regularity
http://www.imati.cnr.it/~savare/pubblicazioni/Savare97a.pdf
1
info:eu-repo/semantics/article
262
Savare', Giuseppe
1 Contributo su Rivista::1.1 Articolo in rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/116466
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