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Author Chabrowski, Jan, 1941-
Title The Dirichlet problem with L²-boundary data for elliptic linear equations [electronic resource] / Jan Chabrowski
Imprint Berlin ; New York : Springer-Verlag, c1991
book jacket
Descript 1 online resource (vi, 173 p.)
Series Lecture notes in mathematics, 0075-8434 ; 1482
Lecture notes in mathematics (Springer-Verlag) ; 1482
Note Includes bibliographical references (p. 168-171) and index
Description based on print version record
The Dirichlet problem has a very long history in mathematics and its importance in partial differential equations, harmonic analysis, potential theory and the applied sciences is well-known. In the last decade the Dirichlet problem with L2-boundary data has attracted the attention of several mathematicians. The significant features of this recent research are the use of weighted Sobolev spaces, existence results for elliptic equations under very weak regularity assumptions on coefficients, energy estimates involving L2-norm of a boundary data and the construction of a space larger than the usual Sobolev space W1,2 such that every L2-function on the boundary of a given set is the trace of a suitable element of this space. The book gives a concise account of main aspects of these recent developments and is intended for researchers and graduate students. Some basic knowledge of Sobolev spaces and measure theory is required
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Link Print version: Chabrowski, Jan, 1941- Dirichlet problem with L²-boundary data for elliptic linear equations. Berlin ; New York : Springer-Verlag, c1991 3540544860 (DLC) 91029339 (OCoLC)24247183
Subject Dirichlet problem
Differential equations, Elliptic -- Numerical solutions
résolution équation
problème Dirichlet
équation linéaire
équation elliptique
Dirichlet, Problème de
Équations différentielles elliptiques -- Solutions numériques
Probleem van Dirichlet. gtt
Elliptische differentiaalvergelijkingen. gtt
Équations différentielles elliptiques. ram
Dirichlet, Problème de. ram
Differential equations, Elliptic -- Numerical solutions. fast (OCoLC)fst00893461
Dirichlet problem. fast (OCoLC)fst00894620
Electronic books
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