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  • 1
    UID:
    almafu_9959327318602883
    Format: 1 online resource (254 pages)
    Edition: 1st ed.
    ISBN: 3527401350 , 9783527401352 , 3527600868 , 9783527600861
    Series Statement: Mathematical research ; v. 109
    Content: This book unifies the different approaches in studying elliptic and parabolic partial differential equations with discontinuous coefficients. To the enlarging market of researchers in applied sciences, mathematics and physics, it gives concrete answers to questions suggested by non-linear models. Providing an up-to date survey on the results concerning elliptic and parabolic operators on a high level, the authors serve the reader in doing further research. Being themselves active researchers in the field, the authors describe both on the level of good examples and precise analysis, the crucial role played by such requirements on the coefficients as the Cordes condition, Campanato's nearness condition, and vanishing mean oscillation condition. They present the newest results on the basic boundary value problems for operators with VMO coefficients and non-linear operators with discontinuous coefficients and state a lot of open problems in the field.
    Note: Boundary value problems for linear operators with discontinuous coefficient -- , Linear and quasilinear operators with VMO coefficients -- , Nonlinear operators with discontinuous coefficients.
    Additional Edition: Print version: Maugeri, A. Elliptic and parabolic equations with discontinuous coefficients. Berlin ; New York : Wiley-VCH, ©2000 ISBN 3527401350
    Language: English
    Subjects: Mathematics
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