Описание: This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. It focuses on major results in recent decades.
Описание: Presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This volume is addressed to graduate students involved in solving linear and nonlinear partial differential equations, and in particular, dealing with the Lie group symmetries of their classical or generalised solutions.
Автор: McKibben, Mark Название: Discovering Evolution Equations with Applications ISBN: 1420092111 ISBN-13(EAN): 9781420092110 Издательство: Taylor&Francis Рейтинг: Цена: 31390.00 р. Наличие на складе: Поставка под заказ.
Описание: A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic, and hyperbolic type. This volume describes that technique, which has played a valuable role in unifying a variety of nonlinear problems, particularly when combined with the quasilinearization method. The first part of this monograph describes the general methodology using the classic approach, while the second part develops the same basic ideas via the variational technique. The text provides a useful and timely reference for applied scientists, engineers and numerical analysts.
Описание: Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a part of functional analysis. This monograph presents a unified systematic theory of second order equations y" (t) + Ay` (t) + By (t) = 0 including well-posedness of the Cauchy problem as well as the Dirichlet and Neumann problems.
This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms. Ideal for self-study or a one semester course in Fourier analysis, included are detailed examples and exercises.
Автор: Picard Rainer, McGhee Des Название: Partial Differential Equations: A Unified Hilbert Space Approach ISBN: 3110250268 ISBN-13(EAN): 9783110250268 Издательство: Walter de Gruyter Рейтинг: Цена: 69890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces.
The focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations.
In contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented.
The book aims to be largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics.
Автор: V. Gaiko Название: Global Bifurcation Theory and Hilbert`s Sixteenth Problem ISBN: 1461348196 ISBN-13(EAN): 9781461348191 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: On the 8th of August 1900 outstanding German mathematician David Hilbert delivered a talk "Mathematical problems" at the Second Interna- tional Congress of Mathematicians in Paris. Lyapunov set forth and solved completely in the very wide class of cases a special problem of the qualitative theory: the problem of motion stability (154].
Автор: Rouhani Название: Nonlinear Evolution & Difference Eq ISBN: 1482228181 ISBN-13(EAN): 9781482228182 Издательство: Taylor&Francis Рейтинг: Цена: 19906.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book deals with first and second order evolution and difference monotone type equations. The approach followed in the book was first introduced by Dr. Djafari-Rouhani, and later advanced by him along with Dr. Khatibzadeh.
Автор: Barbara L. Keyfitz; Michael Shearer Название: Nonlinear Evolution Equations That Change Type ISBN: 1461390516 ISBN-13(EAN): 9781461390510 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This IMA Volume in Mathematics and its Applications NONLINEAR EVOLUTION EQUATIONS THAT CHANGE TYPE is based on the proceedings of a workshop which was an integral part of the 1988-89 IMA program on NONLINEAR WAVES.
Автор: Zheng, Songmu Название: Nonlinear Evolution Equations ISBN: 1584884525 ISBN-13(EAN): 9781584884521 Издательство: Taylor&Francis Рейтинг: Цена: 24499.00 р. Наличие на складе: Поставка под заказ.
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