98-642 Nicolas GONZALEZ

An Example of Pure Stability for the Wave Equation with Moving Boundary (23K, LaTex) Oct 13, 98

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Abstract. This paper studies the behavior of the energy of the wave equation solution in a finite moving domain 0<x<a(t) with a(t) assumed to move slower than the light and periodically. Moreover $a$ is continuous, piecewise linear with two independent parameters. always bounded and give results which involve only the independent parameters. The proof is based on the determination of the invariant measure of a homeomorphism of the circle related to a.

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