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Le, Dung

Strongly Coupled Parabolic and Elliptic Systems

Existence and Regularity of Strong and Weak Solutions

Series:De Gruyter Series in Nonlinear Analysis and Applications 28

    103,95 € / $119.99 / £94.50*

    eBook (PDF)
    Publication Date:
    November 2018
    Copyright year:
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    • An authoritative monograph on the analysis of strongly-coupled systems
    • Presents results on the solvability and regularity of solutions in the system case
    • Of interest to researchers and graduate students working in partial differential equations

    Aims and Scope

    Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included.

    Interpolation Gagliardo–Nirenberg inequalities
    The parabolic systems
    The elliptic systems
    Cross-diffusion systems of porous media type
    Nontrivial steady-state solutions
    The duality RBMO(μ)–H1(μ)|
    Some algebraic inequalities
    Partial regularity


    x, 185 pages
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    Dung Le, University of Texas at San Antonio, USA.

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