Geometric optics expansions with amplification for hyperbolic boundary value problems: Linear problems
نویسندگان
چکیده
منابع مشابه
Geometric Optics Expansions with Amplification for Hyperbolic Boundary Value Problems: Linear Problems
We compute and justify rigorous geometric optics expansions for linear hyperbolic boundary value problems that do not satisfy the uniform Lopatinskii condition. We exhibit an amplification phenomenon for the reflection of small high frequency oscillations at the boundary. Our analysis has two important consequences for such hyperbolic boundary value problems. Firstly, we make precise the optima...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2010
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2581