Nonlinear Analysis on Manifolds. Monge-Amp?re Equations, T. Aubin

Автор: Ralph Abraham; Jerrold E. Marsden; Tudor Ratiu
Название: Manifolds, Tensor Analysis, and Applications
ISBN: 1461269903 ISBN-13(EAN): 9781461269908
Издательство: Springer
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Цена: 121110.00 T
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Описание: This book presents core material in nonlinear analysis, offering working knowledge of manifolds, dynamical systems, tensors and differential forms. Coverage includes Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory.

Автор: Gadea Pedro
Название: Analysis and Algebra on Differentiable Manifolds
ISBN: 9400759517 ISBN-13(EAN): 9789400759510
Издательство: Springer
Цена: 79190.00 T
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Автор: Wang Feng Yu
Название: Analysis for Diffusion Processes on Riemannian Manifolds
ISBN: 9814452645 ISBN-13(EAN): 9789814452649
Издательство: World Scientific Publishing
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Цена: 132000.00 T
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Описание: Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula of the curvature using derivatives of the semigroup) are new among existing monographs even in the case without boundary.

Автор: Pedro M. Gadea; Jaime Mu?oz Masqu?; Ihor V. Mykyty
Название: Analysis and Algebra on Differentiable Manifolds
ISBN: 9400793308 ISBN-13(EAN): 9789400793309
Издательство: Springer
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Цена: 65170.00 T
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Описание: This new edition offers solved exercises on differentiable manifolds, Lie groups, fibre bundles and Riemannian manifolds. Includes exercises ranging from elementary computations to sophisticated tools, and studies solved problems of differentiable manifolds.

Автор: Charles Li; Stephen Wiggins
Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations
ISBN: 0387949259 ISBN-13(EAN): 9780387949253
Издательство: Springer
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Цена: 121110.00 T
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Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.

Автор: T. Aubin
Название: Nonlinear Analysis on Manifolds. Monge-Amp?re Equations
ISBN: 1461257360 ISBN-13(EAN): 9781461257363
Издательство: Springer
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Цена: 130430.00 T
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Описание: On the other hand, geometric problems often lead to limiting cases of known problems in analysis, sometimes there is even more than one approach, and the already existing theoretical studies are inadequate to solve them.

Автор: Charles Li; Stephen Wiggins
Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations
ISBN: 1461273072 ISBN-13(EAN): 9781461273073
Издательство: Springer
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Цена: 46570.00 T
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Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.

Автор: Hiroyoshi Mitake; Hung V. Tran; Nam Q. Le; Hiroyos
Название: Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Amp?re Equations
ISBN: 3319542079 ISBN-13(EAN): 9783319542072
Издательство: Springer
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Цена: 32600.00 T
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Описание: Preface by Nguyen Huu Du (Managing director of VIASM).-Miroyoshi Mitake and Hung V. Tran: Dynamical properties of Hamilton-Jacobi equations via the nonlinear adjoint method: Large time behavior and Discounted approximation.- Nam Q. Le: The second boundary value problem of the prescribed affine mean curvature equation and related linearized Monge-Ampиre equation.

Автор: A.K. Prykarpatsky; I.V. Mykytiuk
Название: Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds
ISBN: 0792350901 ISBN-13(EAN): 9780792350903
Издательство: Springer
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Цена: 121110.00 T
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Описание: Provides a detailed exposition of modern Lie-algebraic theory of integrable nonlinear dynamic systems on manifolds and its applications to mathematical physics, classical mechanics and hydrodynamics. This book offers solutions to many quantization procedure problems. It is for graduate-level students, researchers and mathematical physicists.

Автор: P. Constantin; C. Foias; B. Nicolaenko; R. Temam
Название: Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations
ISBN: 1461281318 ISBN-13(EAN): 9781461281313
Издательство: Springer
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Цена: 107130.00 T
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Описание: The theoretical part of the work is developed in Chapters 2-14, while in Chapters 15-19 we apply the theory to several remarkable partial differ- ential equations.

Автор: Paolo Mastrolia; Marco Rigoli; Alberto G Setti
Название: Yamabe-type Equations on Complete, Noncompact Manifolds
ISBN: 3034807910 ISBN-13(EAN): 9783034807913
Издательство: Springer
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Цена: 83850.00 T
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Описание: This monograph offers an introduction to some geometric and analytic aspects of the Yamabe problem, which is accessible to non-specialists in the field. It presents a number of new results and techniques as well as new proofs of known results.

Автор: Guti?rrez
Название: The Monge-Amp?re Equation
ISBN: 3319433725 ISBN-13(EAN): 9783319433721
Издательство: Springer
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Цена: 121110.00 T
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Описание: Now in its second edition, this monograph explores the Monge-Amp?re equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. The geometric aspects of this theory are stressed using techniques from harmonic analysis, such as covering lemmas and set decompositions. An effort is made to present complete proofs of all theorems, and examples and exercises are offered to further illustrate important concepts. Some of the topics considered include generalized solutions, non-divergence equations, cross sections, and convex solutions. New to this edition is a chapter on the linearized Monge-Amp?re equation and a chapter on interior H?lder estimates for second derivatives. Bibliographic notes, updated and expanded from the first edition, are included at the end of every chapter for further reading on Monge-Amp?re-type equations and their diverse applications in the areas of differential geometry, the calculus of variations, optimization problems, optimal mass transport, and geometric optics. Both researchers and graduate students working on nonlinear differential equations and their applications will find this to be a useful and concise resource.