Lectures on Nonlinear Evolution Equations, Reinhard Racke

Автор: Robert M. Conte; Antonio Maria Greco; Franco Magri
Название: Direct and Inverse Methods in Nonlinear Evolution Equations
ISBN: 3540200878 ISBN-13(EAN): 9783540200871
Издательство: Springer
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Описание: Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations.

Автор: Robert M. Conte; Antonio Maria Greco; Franco Magri
Название: Direct and Inverse Methods in Nonlinear Evolution Equations
ISBN: 3642057535 ISBN-13(EAN): 9783642057533
Издательство: Springer
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Описание: Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations.

Автор: Reinhard Racke
Название: Lectures on Nonlinear Evolution Equations
ISBN: 3663106314 ISBN-13(EAN): 9783663106319
Издательство: Springer
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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.

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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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: J. Kral
Название: Nonlinear Evolution Equations and Potential Theory
ISBN: 1461344271 ISBN-13(EAN): 9781461344278
Издательство: Springer
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Описание: During . recent years, the Mathematical Institute of the Czechoslovak Academy of Sciences has organized summer schools de- voted to non linear functional analysis and its applications- particularly in the theory of boundary value problems for dif- ferential equations. The main subj ects of the summer school held from 24 to 29 Sep- tember 1973 at Podhradi near Ledec on Sazava were theory of non- linear evolution equations and potential theory. The summer school was attended by more than 60 mathematicians from Czechoslovakia and abroad. The lectures were delivered by Gottfried Anger, Halle (GDR), Viorel Barbu, Ia i (Romania), Haim Brezis, Paris (France), Siegfried nUmmel, Karl-Marx-Stadt (GDR), Jozef Kacur, Bratislava (Czechoslovakia), Josef Kral, Praha (Czechoslovakia), S. N. Kruzkov, Moskva (USSR), Vladimir Lovicar, Praha (Czechoslovakia), Jaroslav Lukes, Praha (Czechoslovakia), Jifi Vesely, Praha (Czechoslovakia), Ivo Vrkoc, Praha (Czechoslovakia). In the present proceedings the text of almost all lectures delivered during the school are collected. Josef Krel Editor September, 1974 DIRECT AND INVERSE PROBLEMS IN POTENTIAL THEORY Gottfried Anger Halle (GDR) The aim of this paper is to sketch the most important direct problems (boundary value problems and initial value problems) of linear elliptic, paraboli"c and hyperbolic differential equations and some inverse problems corresponding to these equations. Both types of problems are divided into two classes. The first one is the class of properly posed problems, the other is the class of improperly posed problems.

Автор: Reinhard Racke
Название: Lectures on Nonlinear Evolution Equations
ISBN: 3319342592 ISBN-13(EAN): 9783319342597
Издательство: Springer
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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: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.