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Blow-Up in Nonlinear Sobolev Type Equations, Al`shin Alexander B., Korpusov Maxim O., Sveshnikov Alexey G.


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Автор: Al`shin Alexander B., Korpusov Maxim O., Sveshnikov Alexey G.
Название:  Blow-Up in Nonlinear Sobolev Type Equations
ISBN: 9783110255270
Издательство: Walter de Gruyter
Издательство: de Gruyter
Классификация:
ISBN-10: 3110255278
Обложка/Формат: Hardcover
Страницы: 660
Вес: 1.24 кг.
Дата издания: 17.05.2011
Серия: De gruyter series in nonlinear analysis & applications
Язык: English
Размер: 24.41 x 16.99 x 3.66 cm
Читательская аудитория: Professional & vocational
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Поставляется из: США
Описание:

The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with respect to spatial variables. The main aim of the monograph is to obtain sufficient conditions for global (in time) solvability, to obtain sufficient conditions for blow-up of solutions at finite time, and to derive upper and lower estimates for the blow-up time.

The abstract results apply to a large variety of problems. Thus, the well-known Benjamin-Bona-Mahony-Burgers equation and Rosenau-Burgers equations with sources and many other physical problems are considered as examples. Moreover, the method proposed for studying blow-up phenomena for nonlinear Sobolev-type equations is applied to equations which play an important role in physics. For instance, several examples describe different electrical breakdown mechanisms in crystal semiconductors, as well as the breakdown in the presence of sources of free charges in a self-consistent electric field.

The monograph contains a vast list of references (440 items) and gives an overall view of the contemporary state-of-the-art of the mathematical modeling of various important problems arising in physics. Since the list of references contains many papers which have been published previously only in Russian research journals, it may also serve as a guide to the Russian literature.




Sobolev Spaces: With Applications to Elliptic Partial Differential Equations

Автор: Maz`ya Vladimir
Название: Sobolev Spaces: With Applications to Elliptic Partial Differential Equations
ISBN: 3662517299 ISBN-13(EAN): 9783662517291
Издательство: Springer
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Цена: 23757.00 р.
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Описание: Now enhanced by numerous recent results, this expanded and revised second edition covers the basics on Sobolev spaces and their role in modern analysis. Five new chapters and the augmented list of references create a broader contemporary view of the field.

Sobolev spaces in mathematics

Название: Sobolev spaces in mathematics
ISBN: 0387856498 ISBN-13(EAN): 9780387856490
Издательство: Springer
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Цена: 26546.00 р.
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Описание: Sobolev spaces are the universal language of partial differential equations and mathematical analysis. This volume presents new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics.

Selected Works of S.L. Sobolev

Автор: Gennadii V. Demidenko; Vladimir L. Vaskevich
Название: Selected Works of S.L. Sobolev
ISBN: 1441941630 ISBN-13(EAN): 9781441941633
Издательство: Springer
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Цена: 25853.00 р.
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Описание: The topics covered in this volume include Sobolev`s fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because they were published in journals that are difficult to access.

Theory of Sobolev Multipliers

Автор: Vladimir Maz`ya; Tatyana O. Shaposhnikova
Название: Theory of Sobolev Multipliers
ISBN: 364208902X ISBN-13(EAN): 9783642089022
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The first part of this book offers a comprehensive overview of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory.

Sobolev Spaces in Mathematics II

Автор: Vladimir Maz`ya
Название: Sobolev Spaces in Mathematics II
ISBN: 1441927581 ISBN-13(EAN): 9781441927583
Издательство: Springer
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Цена: 26546.00 р.
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Описание: Sobolev spaces are the universal language of partial differential equations and mathematical analysis. This volume presents new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics.

Sobolev spaces in mathematics

Название: Sobolev spaces in mathematics
ISBN: 038785651X ISBN-13(EAN): 9780387856513
Издательство: Springer
Рейтинг:
Цена: 26546.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This volume, marking the centenary of S.L. Sobolev`s birth, presents the latest the results on some important problems of mathematical physics. The book contains two short biographical articles and unique archive photos of S. Sobolev.

Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains

Автор: Mikhail S. Agranovich
Название: Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
ISBN: 3319351834 ISBN-13(EAN): 9783319351834
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.

Sobolev Spaces, Their Generalizations and Elliptic Problems

Автор: Agranovich Mikhail
Название: Sobolev Spaces, Their Generalizations and Elliptic Problems
ISBN: 3319146475 ISBN-13(EAN): 9783319146478
Издательство: Springer
Рейтинг:
Цена: 13275.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.

Sobolev Spaces in Mathematics I

Автор: Vladimir Maz`ya
Название: Sobolev Spaces in Mathematics I
ISBN: 1441927573 ISBN-13(EAN): 9781441927576
Издательство: Springer
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Цена: 26546.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This volume mark`s the centenary of the birth of the outstanding mathematician of the 20th century, Sergey Sobolev. It includes new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics.

Sobolev spaces in mathematics

Название: Sobolev spaces in mathematics
ISBN: 0387856471 ISBN-13(EAN): 9780387856476
Издательство: Springer
Рейтинг:
Цена: 26546.00 р.
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Описание: Dedicated to the centenary of the outstanding mathematician of the 20th century, Sergey Sobolev, and, in a sense, to his celebrated work on a theorem of functional analysis, this title discusses such topics as: Sobolev-type inequalities on manifolds and metric measure spaces, and traces, inequalities with weights.

On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation in $\mathbb {R}^{3+1}$

Автор: Joachim K Krieger
Название: On Stability of Type II Blow Up for the Critical Nonlinear Wave Equation in $\mathbb {R}^{3+1}$
ISBN: 147044299X ISBN-13(EAN): 9781470442996
Издательство: Mare Nostrum (Eurospan)
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Цена: 10659.00 р.
Наличие на складе: Нет в наличии.

Описание: The author shows that the finite time type II blow up solutions for the energy critical nonlinear wave equation $ \Box u = -u^5 $ on $\mathbb R^3+1$ constructed in Krieger, Schlag, and Tataru (2009) and Krieger and Schlag (2014) are stable along a co-dimension three manifold of radial data perturbations in a suitable topology, provided the scaling parameter $\lambda (t) = t^-1-\nu $ is sufficiently close to the self-similar rate, i. e. $\nu >0$ is sufficiently small. Our method is based on Fourier techniques adapted to time dependent wave operators of the form $ -\partial _t^2 + \partial _r^2 + \frac 2r\partial _r +V(\lambda (t)r) $ for suitable monotone scaling parameters $\lambda (t)$ and potentials $V(r)$ with a resonance at zero.

Nonlinear Evolution Equations That Change Type

Автор: Barbara L. Keyfitz; Michael Shearer
Название: Nonlinear Evolution Equations That Change Type
ISBN: 1461390516 ISBN-13(EAN): 9781461390510
Издательство: Springer
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Цена: 16769.00 р.
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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.


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