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  • 1
    UID:
    b3kat_BV036962358
    Format: 1 Online-Ressource (v, 531 p.) , ill , 24 cm
    Edition: 1st ed
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444521097 , 9780444521095
    Series Statement: North-Holland mathematical library 69
    Note: Includes bibliographical references (p. 497-525) and indexes
    Additional Edition: Reproduktion von Elliptic boundary value problems of second order in piecewise smooth domains 2006
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Elliptisches Randwertproblem
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    UID:
    almahu_9947367636802882
    Format: 1 online resource (539 p.)
    Edition: 1st ed.
    ISBN: 1-280-62898-7 , 9786610628988 , 0-08-046173-5
    Series Statement: North-Holland mathematical library ; v. 69
    Content: The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points. Key features: * New the Hardy - Friedrichs - Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation. * Precise exponents of
    Note: Description based upon print version of record. , Cover; Contents; Introduction; Preliminaries; List of symbols; Elementary inequalities; Domains with a conical point; The quasi-distance function r epsilon and its properties; Function spaces; Lebesgue spaces; Regularization and Approximation by Smooth Functions; Hölder and Sobolev spaces; Notations and definitions; Sobolev imbedding theorems; Weighted Sobolev spaces; Spaces of Dini continuous functions; Some functional analysis; The Cauchy problem for a differential inequality; Additional auxiliary results; Mean Value Theorem; Stampacchia's Lemma; Other assertions; The distance function , Extension LemmaDifference quotients; Notes; Integral inequalities; The classical Hardy inequalities; The Poincare inequality; The Wirtinger inequality: Dirichlet boundary condition...; The Wirtinger inequality: Robin boundary condition; The eigenvalue problem; The Friedrichs-Wirtinger inequality; Hardy-Friedrichs-Wirtinger type inequalities; The Dirichlet boundary condition; The Robin boundary condition; Other auxiliary integral inequalities for N = 2; Notes; The Laplace operator; Dini estimates of the generalized Newtonian potential; The equation with constant coefficients. Green's function. , The Laplace operator in weighted Sobolev spacesNotes; Strong solutions of the Dirichlet problem for linear equations; The Dirichlet problem in general domains; The Dirichlet problem in a conical domain; Estimates in weighted Sobolev spaces; The power modulus of continuity; L Supremum p-estimates; C supremum lambda-estimates; Examples; Higher regularity results; Smoothness in a Dini-Liapunov region; Unique solvability results; Notes; The Dirichlet problem for elliptic linear divergent equations in a nonsmooth domain; The best possible Holder exponents for weak solutions; Introduction. , The estimate of the weighted Dirichlet integralLocal bound of a weak solution; Example; Hölder continuity of weak solutions; Weak solutions of an elliptic inequality; Dini continuity of the first derivatives of weak solutions...; Local Dini continuity near a boundary smooth portion; Dini-continuity near a conical point; Global regularity and solvability; Notes; The Dirichlet problem for semilinear equations in a conical domain; The behavior of strong solutions for nondivergent equations near a conical point; The weighted integral estimates (0 〈 q 〈 1) , The estimate of the solution modulus (0 1); The behavior of weak solutions for divergence equations near a conical point; Notes; Strong solutions of the Dirichlet problem for nondivergence quasilinear equations; The Dirichlet problem in smooth domains; The estimate of the Nirenberg type; Introduction; Formulation of the problem and the main result; The Nirenberg estimate; The behavior of the solution near a corner point (weak smoothness); The weighted integral estimate; Proof of Theorem 7.7; Estimates near a conical point; Introduction , The barrier function , English
    Additional Edition: ISBN 0-444-52109-7
    Language: English
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  • 3
    UID:
    gbv_1684904404
    Format: Online-Ressource , v, 531 p , ill , 24 cm
    Edition: 1st ed
    Edition: Online-Ausg.] Elsevier e-book collection on ScienceDirect
    ISBN: 0444521097 , 9780444521095
    Series Statement: North-Holland mathematical library v. 69
    Note: Includes bibliographical references (p. 497-525) and indexes
    Additional Edition: Erscheint auch als Druck-Ausgabe Borsuk, Mikhail Elliptic boundary value problems of second order in piecewise smooth domains Amsterdam : Elsevier, 2006 ISBN 9780444521095
    Additional Edition: ISBN 0444521097
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Elliptisches Randwertproblem ; Partielle Differentialgleichung
    URL: Volltext  (Deutschlandweit zugänglich)
    Library Location Call Number Volume/Issue/Year Availability
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  • 4
    UID:
    gbv_501829342
    Format: V, 531 S.
    Edition: 1st ed.
    ISBN: 9780444521095 , 0444521097
    Series Statement: North-Holland mathematical library v. 69
    Note: Includes bibliographical references and index. - Formerly CIP
    Additional Edition: Online-Ausg. Borsuk, Mikhail Elliptic boundary value problems of second order in piecewise smooth domains Amsterdam : Elsevier, 2006 ISBN 9780444521095
    Additional Edition: ISBN 0444521097
    Additional Edition: ISBN 0080461735
    Additional Edition: ISBN 9780080461731
    Additional Edition: Erscheint auch als Online-Ausgabe Borsuk, Mikhail Elliptic boundary value problems of second order in piecewise smooth domains Amsterdam : Elsevier, 2006 ISBN 0444521097
    Additional Edition: ISBN 9780444521095
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Elliptisches Randwertproblem ; Partielle Differentialgleichung
    Library Location Call Number Volume/Issue/Year Availability
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  • 5
    UID:
    b3kat_BV022121968
    Format: V, 531 S.
    Edition: 1. ed.
    ISBN: 0444521097 , 9780444521095
    Series Statement: North-Holland mathematical library 69
    Note: Literaturverz. S. 497 - 525
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Elliptisches Randwertproblem
    Library Location Call Number Volume/Issue/Year Availability
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