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Carte Lectures on Nonlinear Evolution Equations Reinhard Racke

Lectures on Nonlinear Evolution Equations

Initial Value Problems

Autor: Reinhard Racke
Limbă: engleză
Legare: Carte broșată
Editura: Birkhauser Verlag AG
Disponibilitate: În depozitul extern
Expediem în 5-8 zile
608.51 lei
This book mainly serves as an elementary, self-contained introduction to several important aspects o...

Informații despre carte

Autor
Reinhard Racke
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2016
Pagini
306
EAN
9783319342597
ISBN
3319342592
Enbook ID
17963580
Editura
Birkhauser Verlag AG
Greutate
4803
Dimensiuni
155 x 235 x 19

Descriere completă

This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.

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