Optimality Conditions: Abnormal and Degenerate Problems, A.V. Arutyunov
Автор: Serge Levendorskii Название: Degenerate Elliptic Equations ISBN: 079232305X ISBN-13(EAN): 9780792323051 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: This work discusses the blending of potential theory, probability and degenerate partial differential operators. The theory of Dirichlet (Markovian) which forms on an abstract finite or infinite-dimensional space is common to all three disciplines and is investigated here.
Автор: A.V. Arutyunov Название: Optimality Conditions: Abnormal and Degenerate Problems ISBN: 0792366557 ISBN-13(EAN): 9780792366553 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Devoted to the necessary and sufficient extremality conditions. This book studies the abstract minimization problem with constraints. It features a chapter devoted to the optimal control problem. It studies the integral quadratic form. It discusses the local properties of smooth nonlinear mappings in a neighbourhood of an abnormal point.
Автор: Wei-Ming Ni; L.A. Peletier; J.L. Vazquez Название: Degenerate Diffusions ISBN: 0387940685 ISBN-13(EAN): 9780387940687 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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".
Автор: Maks A. Akivis; Vladislav V. Goldberg Название: Differential Geometry of Varieties with Degenerate Gauss Maps ISBN: 144192339X ISBN-13(EAN): 9781441923394 Издательство: Springer Рейтинг: Цена: 9776.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
In this book the authors study the differential geometry of varieties with degenerate Gauss maps. They use the main methods of differential geometry, namely, the methods of moving frames and exterior differential forms as well as tensor methods. By means of these methods, the authors discover the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps.
The authors introduce the above mentioned methods and apply them to a series of concrete problems arising in the theory of varieties with degenerate Gauss maps. What makes this book unique is the authors' use of a systematic application of methods of projective differential geometry along with methods of the classical algebraic geometry for studying varieties with degenerate Gauss maps.
This book is intended for researchers and graduate students interested in projective differential geometry and algebraic geometry and their applications. It can be used as a text for advanced undergraduate and graduate students.
Each author has published over 100 papers and they have each written a number of books, including Conformal Differential Geometry and Its Generalizations (Wiley 1996), Projective Differential Geometry of Submanifolds (North-Holland 1993), and Introductory Linear Algebra (Prentice-Hall 1972), which were written by them jointly.
Автор: Serge Levendorskii Название: Degenerate Elliptic Equations ISBN: 9048142822 ISBN-13(EAN): 9789048142828 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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).
Описание: Bma Medical Book Of The Year 2016?: The British Medical Association Honored A Practical Guide To Fetal Echocardiography: Normal And Abnormal Hearts. 3Rd Edition With This Prestigious Award. Lavishly Illustrated And Easy To Use, This Comprehensive Guide Covers Every Aspect Of Fetal Heart Examination And All Major Cardiac Malformations. World-Renowned Experts In The Field, Drs. Abuhamad And Chaoui, World-Renowned Experts In The Field, Have Meticulously Updated And Expanded This Third Edition While Maintaining Its Systematic And Methodical Approach. New Chapters, 25% New Images, And A Practical, Concise Format Make This Reference Indispensable For Both Physicians And Sonographers In The Detection Of Congenital Heart Disease.Thoroughly Illustrated Ultrasound Images In Color Are Accompanied By Clear, Colorful Schematic Drawings That Depict Cardiac Anomalies.Numerous Tables Outline Common And Differentiating Features Of Various Cardiac Malformations.Disorders Are Discussed In Terms Of The Ultrasound Findings, With Key Points Summarized At The End Of Each Chapter.The First Half Of The Text Covers The Technical Aspects Of The Cardiac Exam And Includes New Chapters On Risk Factors For Cardiac Defects, National And International Guidelines For Fetal Cardiac Screening And Fetal Echocardiography, Optimizing The Cardiac Examination, Cardiac Embryology, The Three-Vessel-Trachea View, And The Venous System.The Second Half Of The Text Features Detailed Discussions Of Fetal Cardiac Malformations, Each Presented In A Practical, Methodical Format That Includes The Definition, Spectrum Of Disease And Incidence, The Use Of Gray Scale, Color Doppler, 3D And Early Gestation Ultrasound In Diagnosis, Followed By The Differential Diagnosis, Prognosis, And Outcome.Now With The Print Edition, Enjoy The Bundled Interactive Ebook Edition, Which Can Be Downloaded To Your Tablet And Smartphone Or Accessed Online And Includes Features Like:Complete Content With Enhanced Navigation Powerful Search Tools And Smart Navigation Cross-Links That Pull Results From Content In The Book, Your Notes, And Even The Webcross-Linked Pages, References, And More For Easy Navigationhighlighting Tool For Easier Reference Of Key Content Throughout The Textability To Take And Share Notes With Friends And Colleaguesquick Reference Tabbing To Save Your Favorite Content For Future Use
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.
Автор: Matthias Heymann Название: Minimum Action Curves in Degenerate Finsler Metrics ISBN: 3319177524 ISBN-13(EAN): 9783319177526 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: Recent years have witnessed an increasingly close relationship growing between potential theory, probability and degenerate partial differential operators. The theory of Dirichlet (Markovian) forms on an abstract finite or infinite-dimensional space is common to all three disciplines. This is a fascinating and important subject, central to many of the contributions to the conference on Potential Theory and Degenerate Partial Differential Operators', held in Parma, Italy, February 1994.
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 Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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