Abstract
We consider the mixed problems for the wave equation with general boundary condition. First we discuss on the well posedness of the problems for a boundary operator with real valued coefficients and we show the necessary and sufficient condition for the well posedness in the sense of C∞ when the domain is the exterior of a strictly convex object. As a consequence of the considerations on the well posedness we like to show the decay of the solutions on some additional conditions on boundary operators.
Second, we consider the decay of solutions in the exterior of convex obstacles of finite number.
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© 1981 D. Reidel Publishing Company
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Ikawa, M. (1981). Mixed Problems for the Wave Equation. In: Garnir, H.G. (eds) Singularities in Boundary Value Problems. NATO Advanced Study Institutes Series, vol 65. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8434-9_5
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DOI: https://doi.org/10.1007/978-94-009-8434-9_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-8436-3
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