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Weighted L p estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains
Author(s) -
Maz'ya V.G.,
Roßmann J.
Publication year - 2003
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310041
Subject(s) - sobolev space , mathematics , order (exchange) , boundary value problem , domain (mathematical analysis) , section (typography) , pure mathematics , value (mathematics) , boundary (topology) , mathematical analysis , elliptic boundary value problem , free boundary problem , computer science , statistics , finance , economics , operating system
In this paper we are concerned with boundary value problems for general second order elliptic equations and systems in a polyhedral domain. We consider solutions in weighted L p Sobolev spaces. A special section is dedicated to weak solutions. We prove solvability theorems and regularity assertions for the solutions.