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Nonlinear Geometric Optics for Short Pulses

Published:2002-01 Issue:2 Volume:178 Page:437-465
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Alterman Deborah,Rauch Jeffrey

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference13 articles.

1. Diffractive Nonlinear Geometric Optics for Short Pulses;Alterman,1999

2. Propagation and Interaction of Singularities in Nonlinear Hyperbolic Problems;Beals,1989

3. Interaction des singularités pour les équations aux dérivées partielles non-linéaires;Bony,1979

4. J.-M. Bony, Interaction de singularités pour les équations aux dérivées partielles non-linéaires, exposé 2, 1981–82.

5. Diffractive Nonlinear Geometric Optics;Donnat,1995

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1. Reflection of conormal pulse solutions to large variable-coefficient semilinear hyperbolic systems;Journal of Differential Equations;2024-08

2. On the critical exponent $$p_c$$ of the 3D quasilinear wave equation $$-\big (1+(\partial _t\phi )^p\big )\partial _t^2\phi +\Delta \phi =0$$ with short pulse initial data: II—shock formation;Calculus of Variations and Partial Differential Equations;2024-06-18

3. The Mach stem equation and amplification in strongly nonlinear geometric optics;American Journal of Mathematics;2017

4. Nonlinear geometric optics for reflecting uniformly stable pulses;Journal of Differential Equations;2013-10

5. Rigorous justification of the short-pulse equation;Nonlinear Differential Equations and Applications NoDEA;2012-11-22

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