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Singular Solutions of Nonlinear Elliptic and Parabolic Equations
ISBN/GTIN

Singular Solutions of Nonlinear Elliptic and Parabolic Equations

BuchGebunden
CHF251.00

Beschreibung

This monograph looks at several trends in the investigation of singular solutions of nonlinear elliptic and parabolic equations. It discusses results on the existence and properties of weak and entropy solutions for elliptic second-order equations and some classes of fourth-order equations with L1-data and questions on the removability of singularities of solutions to elliptic and parabolic second-order equations in divergence form. It looks at localized and nonlocalized singularly peaking boundary regimes for different classes of quasilinear parabolic second- and high-order equations in divergence form.The book will be useful for researchers and post-graduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis.Contents:ForewordPart I: Nonlinear elliptic equations with L^1-dataNonlinear elliptic equations of the second order with L^1-dataNonlinear equations of the fourth order with strengthened coercivity and L^1-dataPart II: Removability of singularities of the solutions of quasilinear elliptic and parabolic equations of the second orderRemovability of singularities of the solutions of quasilinear elliptic equationsRemovability of singularities of the solutions of quasilinear parabolic equationsQuasilinear elliptic equations with coefficients from the Kato classPart III: Boundary regimes with peaking for quasilinear parabolic equationsEnergy methods for the investigation of localized regimes with peaking for parabolic second-order equationsMethod of functional inequalities in peaking regimes for parabolic equations of higher ordersNonlocalized regimes with singular peakingAppendix: Formulations and proofs of the auxiliary resultsBibliography
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Details

ISBN978-3-11-031548-6
ProduktartBuch
EinbandartGebunden
Verlag/Label
Erscheinungsdatum21.03.2016
ReiheDe Gruyter Series in Nonlinear Analysis and Applications
Reihen-Nr.24
Seiten435 Seiten
SpracheEnglisch
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Reihe

Autor:in

Alexander A. Kovalevsky, Igor I. Skrypnik, and Andrey E. Shishkov, National Academy of Sciences of Ukraine, Donetsk, Ukraine.

Weitere Artikel mit diesem Autorennamen: Kovalevsky, Alexander A.

Weitere Artikel mit diesem Autorennamen: Skrypnik, Igor I.

Weitere Artikel mit diesem Autorennamen: Shishkov, Andrey E.

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