Regularity Results for Nonlinear Elliptic Systems and Applications PDF Download
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Author: Alain Bensoussan
Publisher: Springer Science & Business Media
ISBN: 3662129051
Category : Mathematics
Languages : en
Pages : 450
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Book Description
This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. These are applied in various cases to provide useful examples and relevant results, particularly in such fields as fluid mechanics, solid mechanics, semiconductor theory and game theory.
Author: Alain Bensoussan
Publisher: Springer Science & Business Media
ISBN: 3662129051
Category : Mathematics
Languages : en
Pages : 450
Get Book Here
Book Description
This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. These are applied in various cases to provide useful examples and relevant results, particularly in such fields as fluid mechanics, solid mechanics, semiconductor theory and game theory.
Author: Alain Bensoussan
Publisher:
ISBN: 9783662129067
Category :
Languages : en
Pages : 456
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Book Description
Author: Wenxiong Chen
Publisher:
ISBN: 9781601330062
Category : Differential equations, Elliptic
Languages : en
Pages : 0
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Book Description
Author: Felix E. Browder
Publisher: American Mathematical Soc.
ISBN: 0821814729
Category : Mathematics
Languages : en
Pages : 591
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Book Description
Author: Angelo Favini
Publisher: CRC Press
ISBN: 1420011138
Category : Mathematics
Languages : en
Pages : 303
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Book Description
With contributions from some of the leading authorities in the field, the work in Differential Equations: Inverse and Direct Problems stimulates the preparation of new research results and offers exciting possibilities not only in the future of mathematics but also in physics, engineering, superconductivity in special materials, and other scientifi
Author: Franco Giannessi
Publisher: Springer Science & Business Media
ISBN: 0387242767
Category : Mathematics
Languages : en
Pages : 1163
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Book Description
This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.
Author: I. V. Skrypnik
Publisher: American Mathematical Soc.
ISBN: 9780821897560
Category : Mathematics
Languages : en
Pages : 370
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Book Description
The theory of nonlinear elliptic equations is currently one of the most actively developing branches of the theory of partial differential equations. This book investigates boundary value problems for nonlinear elliptic equations of arbitrary order. In addition to monotone operator methods, a broad range of applications of topological methods to nonlinear differential equations is presented: solvability, estimation of the number of solutions, and the branching of solutions of nonlinear equations. Skrypnik establishes, by various procedures, a priori estimates and the regularity of solutions of nonlinear elliptic equations of arbitrary order. Also covered are methods of homogenization of nonlinear elliptic problems in perforated domains. The book is suitable for use in graduate courses in differential equations and nonlinear functional analysis.
Author: Edgard A. Pimentel
Publisher: Cambridge University Press
ISBN: 1009096664
Category : Mathematics
Languages : en
Pages : 203
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Book Description
A modern account of elliptic regularity theory, with a rigorous presentation of recent developments for fundamental models.
Author: Klaus Böhmer
Publisher: Oxford University Press
ISBN: 0199577048
Category : Computers
Languages : en
Pages : 775
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Book Description
Boehmer systmatically handles the different numerical methods for nonlinear elliptic problems.
Author: Bernard Dacorogna
Publisher: Springer Science & Business Media
ISBN: 0387552499
Category : Mathematics
Languages : en
Pages : 616
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Book Description
This book is developed for the study of vectorial problems in the calculus of variations. The subject is a very active one and almost half of the book consists of new material. This is a new edition of the earlier book published in 1989 and it is suitable for graduate students. The book has been updated with some new material and examples added. Applications are included.
