ENGLISH

Lectures on nonlinear hyperbolic differential equations

By Hoermander L.

Book information

Publisher
Springer
Year
1997
ISBN
3540629211
Open Library ID
OL22281923M
Language
english
Format
DJVU
Filesize
4 MB (3910125 bytes)
Series
Mathématiques et Applications
Pages
299\299
Library
Kolxo3
DPI
600
Time added
2010-07-29 05:14:56

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 opertors needed in the nonlinear theory is presented in complete detail.

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