Ebook: Geometrical Optics and Related Topics

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Content:
Front Matter....Pages i-vii
Blowup of small data solutions for a class of quasilinear wave equations in two dimensions: an outline of the proof....Pages 1-15
Concentration effects in critical nonlinear wave equation and scattering theory....Pages 17-30
Lower semicontinuity of weighted path length in BV....Pages 31-58
Time decay of Lp norms for solutions of the wave equation on exterior domains....Pages 59-77
Sobolev embeddings in Weyl-H?rmander calculus....Pages 79-93
About the Cauchy problem for a system of conservation laws....Pages 95-116
Global existence of the solutions and formation of singularities for a class of hyperbolic systems....Pages 117-140
A class of solvable operators....Pages 141-177
On the uniqueness of the Cauchy problem under partial analyticity assumptions....Pages 179-219
Nonlinear wave diffraction....Pages 221-243
Caustics for dissipative semilinear oscillations....Pages 245-266
Geometric optics and the bottom of the spectrum....Pages 267-293
Hypoellipticity for a class of infinitely degenerate elliptic operators....Pages 295-317
Regularity of solutions to characteristic boundary value problem for symmetric systems....Pages 319-361
Back Matter....Pages 363-366

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Content:
Front Matter....Pages i-vii
Blowup of small data solutions for a class of quasilinear wave equations in two dimensions: an outline of the proof....Pages 1-15
Concentration effects in critical nonlinear wave equation and scattering theory....Pages 17-30
Lower semicontinuity of weighted path length in BV....Pages 31-58
Time decay of Lp norms for solutions of the wave equation on exterior domains....Pages 59-77
Sobolev embeddings in Weyl-H?rmander calculus....Pages 79-93
About the Cauchy problem for a system of conservation laws....Pages 95-116
Global existence of the solutions and formation of singularities for a class of hyperbolic systems....Pages 117-140
A class of solvable operators....Pages 141-177
On the uniqueness of the Cauchy problem under partial analyticity assumptions....Pages 179-219
Nonlinear wave diffraction....Pages 221-243
Caustics for dissipative semilinear oscillations....Pages 245-266
Geometric optics and the bottom of the spectrum....Pages 267-293
Hypoellipticity for a class of infinitely degenerate elliptic operators....Pages 295-317
Regularity of solutions to characteristic boundary value problem for symmetric systems....Pages 319-361
Back Matter....Pages 363-366
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