Regularity of Free Boundaries in Obstacle-Type Problems, Arshak Petrosyan, Henrik Shahgholian, Nina Uraltseva

Автор: Alessandra Lunardi
Название: Analytic Semigroups and Optimal Regularity in Parabolic Problems
ISBN: 3034899564 ISBN-13(EAN): 9783034899567
Издательство: Springer
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Цена: 139710.00 T
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Описание: This book gives a systematic treatment of the basic theory of analytic semigroups and abstract parabolic equations in general Banach spaces, and of how such a theory may be used in parabolic PDE`s.

Автор: Alessandra Lunardi
Название: Analytic Semigroups and Optimal Regularity in Parabolic Problems
ISBN: 303480556X ISBN-13(EAN): 9783034805568
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be applied to the study of parabolic problems. It presents known theorems from a novel perspective and teaches how to exploit basic techniques.

Автор: Pierluigi Colli; Angelo Favini; Elisabetta Rocca;
Название: Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs
ISBN: 3319644882 ISBN-13(EAN): 9783319644882
Издательство: Springer
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Цена: 121110.00 T
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Описание: This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics.

Автор: Alex Amenta, Pascal Auscher
Название: Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach
ISBN: 1470442507 ISBN-13(EAN): 9781470442507
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called ``first order approach'' which uses minimal assumptions on the coefficients and thus allows for complex coefficients and for systems of equations.This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.

Автор: Donatella Danielli, Nicola Garofalo, Arshak Petrosyan, Tung To
Название: Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem
ISBN: 1470425475 ISBN-13(EAN): 9781470425470
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Offers a comprehensive treatment of the parabolic Signorini problem based on a generalization of Almgren`s monotonicity of the frequency. This includes the proof of the optimal regularity of solutions, classification of free boundary points, the regularity of the regular set and the structure of the singular set.

Автор: Alexandru D. Ionescu, Fabio Pusateri
Название: Global Regularity for 2D Water Waves with Surface Tension
ISBN: 1470431033 ISBN-13(EAN): 9781470431037
Издательство: Mare Nostrum (Eurospan)
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Цена: 65210.00 T
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Описание: The authors consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and prove global regularity and modified scattering for suitably small and localized perturbations of a flat interface. An important point of the authors' analysis is to develop a sufficiently robust method (the ``quasilinear I-method'') which allows the authors to deal with strong singularities arising from time resonances in the applications of the normal form method (the so-called ``division problem''). As a result, they are able to consider a suitable class of perturbations with finite energy, but no other momentum conditions.Part of the authors' analysis relies on a new treatment of the Dirichlet-Neumann operator in dimension two which is of independent interest. As a consequence, the results in this paper are self-contained.

Автор: Alexander Koshelev
Название: Regularity Problem for Quasilinear Elliptic and Parabolic Systems
ISBN: 3540602518 ISBN-13(EAN): 9783540602514
Издательство: Springer
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Цена: 41880.00 T
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Описание: This text deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described.

Автор: Dimitri Volchenkov; Xavier Leoncini
Название: Regularity and Stochasticity of Nonlinear Dynamical Systems
ISBN: 3319580612 ISBN-13(EAN): 9783319580616
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems.

Автор: Ulrich Dierkes; Albrecht K?ster; Stefan Hildebrand
Название: Regularity of Minimal Surfaces
ISBN: 3642265219 ISBN-13(EAN): 9783642265211
Издательство: Springer
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Цена: 139750.00 T
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Описание: This is the second of a three-volume treatise on minimal surfaces. It deals with basic regularity results for minimal surfaces concerning their boundary behavior at Plateau boundaries and free boundaries.

Автор: Alain Bensoussan; Jens Frehse
Название: Regularity Results for Nonlinear Elliptic Systems and Applications
ISBN: 3642087264 ISBN-13(EAN): 9783642087264
Издательство: Springer
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Цена: 88500.00 T
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