Dispersive equations and nonlinear waves, Koch, Herbert Tataru, Daniel Visan, Monica

Автор: Linares, Felipe Ponce, Gustavo
Название: Introduction to nonlinear dispersive equations
ISBN: 1493921800 ISBN-13(EAN): 9781493921805
Издательство: Springer
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Описание: Introduction to Nonlinear Dispersive Equations

Автор: Erdo?an
Название: Dispersive Partial Differential Equations
ISBN: 1107149045 ISBN-13(EAN): 9781107149045
Издательство: Cambridge Academ
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Цена: 11563.00 р.
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Описание: Provides a self-contained and accessible introduction to nonlinear dispersive partial differential equations (PDEs) for graduate or advanced undergraduate students in mathematics, engineering, and physical sciences. The book can be used for self-study, or for teaching a semester-long introductory graduate course in PDEs.

Автор: Ben Abdallah Naoufel; Anton Arnold; Pierre Degond;
Название: Dispersive Transport Equations and Multiscale Models
ISBN: 1461264731 ISBN-13(EAN): 9781461264736
Издательство: Springer
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Цена: 6097.00 р.
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Описание: IMA Volumes 135: Transport in Transition Regimes and 136: Dispersive Transport Equations and Multiscale Models focus on the modeling of processes for which transport is one of the most complicated components.

Автор: Daniel B. Dix
Название: Large-Time Behavior of Solutions of Linear Dispersive Equations
ISBN: 3540634347 ISBN-13(EAN): 9783540634348
Издательство: Springer
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Цена: 5487.00 р.
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Описание: This text is aimed at researchers and graduate students in the fields of differential, difference and integral equations. It explores the large-time behaviour of solutions of linear dispersive equations, looking at Laplace expansions, uniformly valid expansions for large-time and applications.

Автор: Dret, Herve Le
Название: Nonlinear elliptic partial differential equations
ISBN: 3319783890 ISBN-13(EAN): 9783319783895
Издательство: Springer
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Описание: This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.

Автор: Tatsien Li; Yi Zhou
Название: Nonlinear Wave Equations
ISBN: 3662557231 ISBN-13(EAN): 9783662557235
Издательство: Springer
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Цена: 14635.00 р.
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Описание: This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms. Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems.

Purely based on the properties of solutions to the corresponding linear problems, the method simply applies the contraction mapping principle.

Автор: Reinhard Racke
Название: Lectures on Nonlinear Evolution Equations
ISBN: 3319342592 ISBN-13(EAN): 9783319342597
Издательство: Springer
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Цена: 11586.00 р.
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Описание: Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrodinger equations, Klein-Gordon equations, Maxwell equations and plate equations.

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: 6097.00 р.
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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: Tepper L. Gill; Woodford W. Zachary
Название: Nonlinear Semigroups, Partial Differential Equations and Attractors
ISBN: 3540515941 ISBN-13(EAN): 9783540515944
Издательство: Springer
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Цена: 4263.00 р.
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Автор: W.-M. Ni; L.A. Peletier; James Serrin
Название: Nonlinear Diffusion Equations and Their Equilibrium States II
ISBN: 1461396107 ISBN-13(EAN): 9781461396109
Издательство: Springer
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Цена: 14635.00 р.
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Описание: In recent years considerable interest has been focused on nonlinear diffu- sion problems, the archetypical equation for these being Ut = ~U + f(u).