Decay Estimates of Solutions to Wave Equations in Conical Sets |
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Authors: | Michael Dreher |
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Institution: | 1. Department of Mathematics and Statistics , Konstanz University , Konstanz, Germany michael.dreher@uni-konstanz.de |
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Abstract: | We consider the wave equation in an unbounded conical domain, with initial conditions and boundary conditions of Dirichlet or Neumann type. We give a uniform decay estimate of the solution in terms of weighted Sobolev norms of the initial data. The decay rate is the same as in the full space case. |
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Keywords: | Decay estimates Fractional integrals Representation of solution |
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