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Degenerate Elliptic Equations, Serge Levendorskii


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Автор: Serge Levendorskii
Название:  Degenerate Elliptic Equations
ISBN: 9789048142828
Издательство: Springer
Классификация: ISBN-10: 9048142822
Обложка/Формат: Paperback
Страницы: 431
Вес: 0.61 кг.
Дата издания: 15.12.2010
Серия: Mathematics and Its Applications
Язык: English
Размер: 229 x 152 x 28
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 0.1 The partial differential equation (1) (Au)(x) = L aa(x)(Dau)(x) = f(x) m lal9 is called elliptic on a set G, provided that the principal symbol a2m(X, ) = L aa(x) a lal=2m of the operator A is invertible on G X ( n \ 0); A is called elliptic on G, too. This definition works for systems of equations, for classical pseudo differential operators (pdo), and for operators on a manifold n. Let us recall some facts concerning elliptic operators. 1 If n is closed, then for any s E, is Fredholm and the following a priori estimate holds (2) 1 2 Introduction If m > 0 and A: C=(O; C) -] L (0; C) is formally self - adjoint 2 with respect to a smooth positive density, then the closure Ao of A is a self - adjoint operator with discrete spectrum and for the distribu- tion functions of the positive and negative eigenvalues (counted with multiplicity) of Ao one has the following Weyl formula: as t -+ 00, (3) n 2m = t / II N(1, a2m(x, e))dxde T-O\O (on the right hand side, N(t, a2m(x, e))are the distribution functions of the matrix a2m(X, e): C -+ CU).

Degenerate Elliptic Equations

Автор: Serge Levendorskii
Название: Degenerate Elliptic Equations
ISBN: 079232305X ISBN-13(EAN): 9780792323051
Издательство: Springer
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Цена: 102480.00 T
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Описание: A study of the properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given, and a priori estimates of solutions are derived.

Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations

Автор: Maria Colombo
Название: Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations
ISBN: 887642606X ISBN-13(EAN): 9788876426063
Издательство: Springer
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Цена: 16770.00 T
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Описание: This text represents a sort of customary or ordinal for the English court chapel in 1449, intended to govern the life of the 49 people, including choirboys, who were the staff of this peripatetic establishment. It was based on earlier drafts, and was sent to Alvaro Vaz d`Almada, a knight of the Garter, for the use of Afonso V of Portugal; it includes a copy of the English coronation rites.

Weighted Inequalities and Degenerate Elliptic Partial Differential Equations

Автор: E.W. Stredulinsky
Название: Weighted Inequalities and Degenerate Elliptic Partial Differential Equations
ISBN: 3540133704 ISBN-13(EAN): 9783540133704
Издательство: Springer
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Цена: 23280.00 T
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Harnack`s Inequality for Degenerate and Singular Parabolic Equations

Автор: Emmanuele DiBenedetto; Prof. Ugo Pietro Gianazza U
Название: Harnack`s Inequality for Degenerate and Singular Parabolic Equations
ISBN: 1489999760 ISBN-13(EAN): 9781489999764
Издательство: Springer
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Цена: 111790.00 T
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Описание:

Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and porous medium type, while raised by several authors, has remained basically open. Recently considerable progress has been made on this issue, to the point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete.

It seemed therefore timely to trace a comprehensive overview, that would highlight the main issues and also the problems that still remain open. The authors give a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p>2 or m>1) and in the singular range (1pmThe book is self-contained. Building on a similar monograph by the first author, the authors of the present book focus entirely on the Harnack estimates and on their applications: indeed a number of known regularity results are given a new proof, based on the Harnack inequality. It is addressed to all professionals active in the field, and also to advanced graduate students, interested in understanding the main issues of this fascinating research field.

Minimum Action Curves in Degenerate Finsler Metrics

Автор: Matthias Heymann
Название: Minimum Action Curves in Degenerate Finsler Metrics
ISBN: 3319177524 ISBN-13(EAN): 9783319177526
Издательство: Springer
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Цена: 32600.00 T
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Описание:

Preface.- Acknowledgements.- Acronyms.- Part I: Results.- Introduction.- Geometric Action Functionals.- Existence of Minimum Action Curves.- Properties of Minimum Action Curves.- Conclusions.- Some Proofs and Remarks.- Part II: Proofs.- Finding Points with Local Minimizers.- Proof of Lemma 6.1.- Part III: Proof of a Technical Lemma.- Proof of Lemma 6.15: Main Arguments.- Proof of Lemma 6.15: Some Technical Details.- Glossary.- Index.- References.


Degenerate Diffusions

Автор: Wei-Ming Ni; L.A. Peletier; J.L. Vazquez
Название: Degenerate Diffusions
ISBN: 0387940685 ISBN-13(EAN): 9780387940687
Издательство: Springer
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Цена: 167700.00 T
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Описание: This IMA Volume in Mathematics and its Applications DEGENERATE DIFFUSIONS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries".

Degenerate Diffusions

Автор: Wei-Ming Ni; L.A. Peletier; J.L. Vazquez
Название: Degenerate Diffusions
ISBN: 1461269350 ISBN-13(EAN): 9781461269359
Издательство: Springer
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Цена: 93160.00 T
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Описание: This IMA Volume in Mathematics and its Applications DEGENERATE DIFFUSIONS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries".

Optimality Conditions: Abnormal and Degenerate Problems

Автор: A.V. Arutyunov
Название: Optimality Conditions: Abnormal and Degenerate Problems
ISBN: 9048155967 ISBN-13(EAN): 9789048155965
Издательство: Springer
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Цена: 93160.00 T
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