On the determination of Moving Boundaries for Hyperbolic Equations

Details On the determination of Moving Boundaries for Hyperbolic Equations On the determination of Moving Boundaries for Hyperbolic Equations

2009-02-26

arxiv.org/abs/0902.4497v5

Physics

Mathematical Physics

The proof of Theorem 4.1 is expanded, Example 1 of section 4.3 is improved, misprints are corrected

Scientific paper

We consider wave equations in domains with time-dependent boundaries (moving obstacles) contained in a fixed cylinder for all time. We give sufficient conditions for the determination of the moving boundary from the Cauchy data on part of the boundary of the cylinder. We also study the related problem of accessibility of the moving boundary by time-like curves from the boundary of the cylinder.

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