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Interpolation of Boundary Value Problems of Neumann Type on Smooth Domains
Author(s) -
Löfström Jörgen
Publication year - 1992
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-46.3.499
Subject(s) - sobolev space , mathematics , interpolation (computer graphics) , boundary (topology) , domain (mathematical analysis) , mathematical analysis , type (biology) , boundary value problem , neumann boundary condition , homogeneous , pure mathematics , space (punctuation) , interpolation space , boundary values , set (abstract data type) , combinatorics , computer science , functional analysis , image (mathematics) , ecology , biology , operating system , biochemistry , chemistry , artificial intelligence , gene , programming language
Consider the Sobolev spaceW N pB of all functions with up to N derivatives in L p (on a smooth domain) satisfying a set B of homogeneous boundary conditions. Then the real interpolation spaces between L p andW N pB are characterized completely in the case 1 < p < ∞.