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 Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduction to Nonlinear Dispersive Equations
Автор: Erdo?an Название: Dispersive Partial Differential Equations ISBN: 1107149045 ISBN-13(EAN): 9781107149045 Издательство: Cambridge Academ Рейтинг: Цена: 11088.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Reinhard Racke Название: Lectures on Nonlinear Evolution Equations ISBN: 3663106314 ISBN-13(EAN): 9783663106319 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book in hand is based on lectures which were given at the University of Bonn in the winter semesters of 1989/90 and 1990/91. The aim of the lectures was to present an elementary, self-contained introduction into some important aspects of the theory of global, small, smooth solutions to initial value problems for non linear evolution equa- tions. The addressed audience included graduate students of both mathematics and physics who were only assumed to have abasie knowledge of linear partial differential equations. Thus, in the spirit of the underlying series, this book is intended to serve as a detailed basis for lectures on the subject as weIl as for self-studies for students or for other newcomers to this field. The presentation of the theory is made using the classical method of continuation of local solutions with the help of apriori estimates obtained for small data. The corre- sponding global existence theorems have been proved mainly in the last decade, focussing on fully nonlinear systems; Related questions concerning large data problems, the ex- istence of weak solutions or the analysis of &.hock waves are not discussed. Also the question of optimal regularity assumptions on the coefficients is beyond the scope of the book and is touched only in part and exemplarily.
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 Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrodinger equations, Klein-Gordon equations, Maxwell equations and plate equations.
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 Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In recent years considerable interest has been focused on nonlinear diffu- sion problems, the archetypical equation for these being Ut = ~U + f(u).
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