On the decay of solutions to the 2D Neumann exterior problem for the wave equation. (Q1413206)
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scientific article; zbMATH DE number 2003930
| Language | Label | Description | Also known as |
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| English | On the decay of solutions to the 2D Neumann exterior problem for the wave equation. |
scientific article; zbMATH DE number 2003930 |
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On the decay of solutions to the 2D Neumann exterior problem for the wave equation. (English)
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16 November 2003
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The mixed problem for the wave equation with Neumann boundary condition is considered. In the paper [Pointwise decay for solutions of the 2D Neumann exterior problem for the wave equation. II, Rend. Semin. Mat. Univ. Padova 108, 67--77 (2002; Zbl 1072.35110)], the first author of this article was already concerned with the asymptotic behaviour of the solution for large times. The aim of the present paper is to get a decay estimate which does not depend on weighted norms of the data. This is achieved by combining local energy decay estimates with decay estimates for the free space solution.
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asymptotic behaviour
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decay estimates
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