Lectures on Nonlinear Hyperbolic Differential Equations

Name: Lectures on Nonlinear Hyperbolic Differential Equations
Price: 55.74 USD
Availability: InStock
ISBN: 9783540629214

ISBN-10: 3540629211

ISBN-13: 9783540629214

Edition: 1997

Authors: Lars Hï¿½rmander

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Description:

In this introductory textbook, a revised and extended version of well-known lectures by L. Hrmander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions. Two chapters concern the existence of global solutions or estimates of the lifespan for solutions of nonlinear perturbations of the wave or Klein-Gordon equation with small initial data. Four chapters are devoted to microanalysis of the singularities of the solutions. This part assumes some familiarity with pseudodifferential operators which are standard in the theory of linear differential operators, but the extension to the more exotic classes of…

Book details

Copyright year: 1997
Publisher: Springer Berlin / Heidelberg
Publication date: 7/17/1997
Binding: Paperback
Pages: 290
Size: 6.69" wide x 9.84" long x 0.75" tall
Weight: 2.112



Preface


Contents



Ordinary differential equations



Scalar first order equations with one space variable



Scalar first order equations with several variables



First order systems of conservation laws with one space



Compensated compactness



Nonlinear perturbations of the wave equation



Nonlinear perturbations of the Klein-Gordon equation



Microlocal analysis



Pseudo-differential operators of type 1,1



Paradifferential calculus



Propagation of singularities


Appendix on pseudo-Riemannian geometry


References


Index of notations


Index