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November  2009, 24(4): 1293-1306. doi: 10.3934/dcds.2009.24.1293

## Reflection of highly oscillatory waves with continuous oscillatory spectra for semilinear hyperbolic systems

 1 Department of Applied Mathematics, Donghua University, Shanghai 200051, China 2 Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China

Received  August 2008 Revised  February 2009 Published  May 2009

In this paper, we study an initial-boundary value problem for a semilinear hyperbolic system with the initial date having a possibly continuous oscillatory spectrum in the half-space $R^{1+2}_+=\{x=(t,y_{1},y_{2}):t>0,y_{2}>0\}.$ The goal of this paper is to rigorously justify the asymptotic analysis for the reflection of wave trains with such a continuous oscillatory spectrum.
Citation: Yahong Peng, Yaguang Wang. Reflection of highly oscillatory waves with continuous oscillatory spectra for semilinear hyperbolic systems. Discrete & Continuous Dynamical Systems - A, 2009, 24 (4) : 1293-1306. doi: 10.3934/dcds.2009.24.1293
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