Lectures on Nonlinear Hyperbolic Differential Equations

Häftad, Engelska, 1997

Av Lars Hörmander, Lars Hormander, L. Hormander

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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.

Produktinformation

Utgivningsdatum1997-07-17
Mått170 x 250 x 22 mm
Vikt474 g
FormatHäftad
SpråkEngelska
SerieMathématiques et Applications
Antal sidor290
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540629214

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Preface.- Contents.- Chap. I: Ordinary differential equations.- Chap. II: Scalar first order equations with one space variable.- Chap. III: Scalar first order equations with several variables.- Chap. IV: First order systems of conservation laws with one space.- Chap. V: Compensated compactness.- Chap. VI: Nonlinear perturbations of the wave equation.- Chap. VII: Nonlinear perturbations of the Klein-Gordon equation.- Chap. VIII: Microlocal analysis.- Chap. IX: Pseudo-differential operators of type 1,1.- Chap. X: Paradifferential calculus.- Chap. XI: Propagation of singularities.- Appendix on pseudo-Riemannian geometry.- References.- Index of notations.- Index.