Asymptotic Wave Functions and Energy Distributions for Symmetric Hyperbolic Systems of First Order

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This paper studies from the view point of L 2-theory the asymptotic behavior for £-»oo of solutions (with finite energy) of symmetric hyperbolic systems of first order with constant coefficients. For each solution of such systems the corresponding asymptotic wave function will be constructed from the initial data. The asymptotic energy distributions of the solutions will be investigated making use of the asymptotic wave functions. Wilcox [8] studied these problems for solutions of the wave equation