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＜電子ブック＞
Hyperbolic partial differential equations and geometric optics / Jeffrey Rauch
(Graduate Studies in Mathematics ; v. 133)

出版者	Providence, R.I : American Mathematical Society
出版年	c2012
大きさ	1 online resource (xix, 363 p. : ill.)
著者標目	*Rauch, Jeffrey
件　名	LCSH:Singularities (Mathematics) LCSH:Microlocal analysis LCSH:Geometrical optics -- Mathematics  全ての件名で検索 LCSH:Differential equations, Hyperbolic FREE:Partial differential equations -- General topics -- Wave front sets  全ての件名で検索 FREE:Partial differential equations -- General topics -- Propagation of singularities  全ての件名で検索 FREE:Partial differential equations -- General topics -- Microlocal methods; methods of sheaf theory and homological algebra in PDE  全ての件名で検索 FREE:Partial differential equations -- General topics -- Geometric theory, characteristics, transformations  全ての件名で検索 FREE:Partial differential equations -- Equations of mathematical physics and other areas of application -- Euler equations  全ての件名で検索 FREE:Partial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with optics and electromagnetic theory  全ての件名で検索 FREE:Optics, electromagnetic theory -- General -- Geometric optics  全ての件名で検索 FREE:Optics, electromagnetic theory -- General -- Lasers, masers, optical bistability, nonlinear optics  全ての件名で検索 FREE:Optics, electromagnetic theory -- Basic methods -- Asymptotic analysis  全ての件名で検索 FREE:Systems theory; control -- Controllability, observability, and system structure -- Observability  全ての件名で検索
内容注記	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
一般注記	Includes bibliographical references (p. 351-358) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2012 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/gsm/133 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/133 Information=Contents

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