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Catalogue Information
Field name	Details
Dewey Class	535/.32
Title	Hyperbolic partial differential equations and geometric optics / ([EBook] ) / Jeffrey Rauch.
Author	Rauch, Jeffrey
Publication	Providence, R.I. : : American Mathematical Society, , c2012.
Physical Details	1 online resource (xix, 363 p. : ill.)
Series	Graduate studies in mathematics ; 133
ISBN	9780821885086 (online)
Contents note	Chapter 1. Simple examples of propagation: Chapter 2. The linear Cauchy problem: Chapter 3. Dispersive behavior: Chapter 4. Linear elliptic geometric optics: Chapter 5. Linear hyperbolic geometric optics: Chapter 6. The nonlinear Cauchy problem: Chapter 7. One phase nonlinear geometric optics: Chapter 8. Stability for one phase nonlinear geometric optics: Chapter 9. Resonant interaction and quasilinear systems: Chapter 10. Examples of resonance in one dimensional space: Chapter 11. Dense oscillations for the compressible Euler equations:
Mode of acces to digital resource	Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://www.ams.org/gsm/133
See Also	https://doi.org/10.1090/gsm/133
Links to Related Works	Subject References: Differential equations, Hyperbolic . Geometrical optics . Microlocal analysis . Optics, electromagnetic theory -- Basic methods -- Asymptotic analysis . Optics, electromagnetic theory -- General -- Geometric optics . Optics, electromagnetic theory -- General -- Lasers, masers, optical bistability, nonlinear optics . Partial differential equations -- Equations of mathematical physics and other areas of application -- Euler equations . Partial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with optics and electromagnetic theory . Partial differential equations -- General topics -- Geometric theory, characteristics, transformations . Partial differential equations -- General topics -- Microlocal methods; methods of sheaf theory and homological algebra in PDE. . Partial differential equations -- General topics -- Propagation of singularities . Partial differential equations -- General topics -- Wave front sets . Singularities (Mathematics) . Systems theory; control -- Controllability, observability, and system structure -- Observability . Authors: Rauch, Jeffrey . Series: Graduate studies in mathematics . Classification: 535/.32 .

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Hyperbolic partial differential equations and geometric optics /

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