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AuthorBensoussan, Alain. author
TitleRegularity Results for Nonlinear Elliptic Systems and Applications [electronic resource] / by Alain Bensoussan, Jens Frehse
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002
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Descript XII, 443 p. online resource


The book collects many techniques that are helpul in obtaining regularity results for solutions of nonlinear systems of partial differential equations. They are then applied in various cases to provide useful examples and relevant results, particularly in fields like fluid mechanics, solid mechanics, semiconductor theory, or game theory. In general, these techniques are scattered in the journal literature and developed in the strict context of a given model. In the book, they are presented independently of specific models, so that the main ideas are explained, while remaining applicable to various situations. Such a presentation will facilitate application and implementation by researchers, as well as teaching to students


General Technical Results -- General Regularity Results -- Nonlinear Elliptic Systems Arising from Stochastic Games -- Nonlinear Elliptic Systems Arising from Ergodic Control -- Harmonic Mappings -- Nonlinear Elliptic Systems Arising from the Theory of Semiconductors -- Stationary Navierโ{128}{148}Stokes Equations -- Strongly Coupled Elliptic Systems -- Dual Approach to Nonlinear Elliptic Systems -- Nonlinear Elliptic Systems Arising from plasticity Theory

Mathematics Partial differential equations Mathematics Partial Differential Equations


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