Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs).
Описание: This book is devoted to new classes of parabolic differential and pseudo-differential equations extensively studied in the last decades, such as parabolic systems of a quasi-homogeneous structure, degenerate equations of the Kolmogorov type, pseudo-differential parabolic equations, and fractional diffusion equations.
Описание: The results of this exceptional thesis on free boundary problems in singularly perturbed PDEs develop our understanding of the effects of strong competition between species. The research has a wealth of valuable applications in both physics and biology.
Автор: Salsa, Sandro Verzini, Gianmaria Название: Partial differential equations in action ISBN: 331915415X ISBN-13(EAN): 9783319154152 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, potential equations); Variational Formulation of Elliptic Problems; and Weak Formulation for Parabolic Problems and for the Wave Equation.
Автор: U.G. Kurbatov Название: Functional Differential Operators and Equations ISBN: 904815183X ISBN-13(EAN): 9789048151837 Издательство: Springer Рейтинг: Цена: 33541.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book deals with linear functional differential equations and operator theory methods for their investigation. the equivalence of the dichotomy of solutions for the homogeneous equation Lx = 0 and the invertibility of the operator L;
Описание: This text reviews material from more than 300 publications on the oscillation theory of difference and functional differential equations of various types.
Автор: Hiroshi Fujita; Teruo Ikebe; Shige T. Kuroda Название: Functional-Analytic Methods for Partial Differential Equations ISBN: 3540533931 ISBN-13(EAN): 9783540533931 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The proceedings of a conference which focused on the interplay between functional analysis and partial differential equations. Topics discussed included Schrodinger operators and nonlinear PDEs, including Navier-Stokes, KdV and other equations.
Автор: J. Cea; D. Chenais; Giuseppe Geymonat; J.L. Lions Название: Partial Differential Equations and Functional Analysis ISBN: 1461275369 ISBN-13(EAN): 9781461275367 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Pierre Grisvard, one of the most distinguished French mathematicians, died on April 22, 1994. He studied singulari- ties coming from coefficients, boundary conditions, and mainly non-smooth domains, and left a legacy of precise results which have been published in journals and books.
Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations, and especially partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and as PhD research preparation in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs are limited, and their sources precisely identifie d, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature.
Provides an introduction to the mathematical techniques widely used in applied mathematics and needed for advanced research
Establishes the advanced background needed for sophisticated literature review and research in both differential and integral equations
Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics
Описание: This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. Chapter 1 discusses the theory of FK spaces and Chapter 2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4.
Автор: Patr?cia Gon?alves; Ana Jacinta Soares Название: From Particle Systems to Partial Differential Equations ISBN: 3319668382 ISBN-13(EAN): 9783319668383 Издательство: Springer Рейтинг: Цена: 22359.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
"This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from the mini-course presented by Jean-Christophe Mourrat on the construction of the various stochastic "basic" terms involved in the formulation of the dynamic O4 theory in three space dimensions, as well as selected contributions presented at the fourth meeting on Particle Systems and PDEs, which was held at the University of Minho's Centre of Mathematics in December 2015. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, offering them a forum to present their recent results and discuss their topics of expertise. The meeting was also intended to present to a vast and varied public, including young researchers, the area of interacting particle systems, its underlying motivation, and its relation to partial differential equations.
The book will be of great interest to probabilists, analysts, and all mathematicians whose work focuses on topics in mathematical physics, stochastic processes and differential equations in general, as well as physicists working in statistical mechanics and kinetic theory."
Описание: This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of weak solutions, and the analysis of discrete and geometric structures of the PDEs. The purpose of the book is to provide readers an introduction to selected entropy methods that can be found in the research literature. In order to highlight the core concepts, the results are not stated in the widest generality and most of the arguments are only formal (in the sense that the functional setting is not specified or sufficient regularity is supposed). The text is also suitable for advanced master and PhD students and could serve as a textbook for special courses and seminars.
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