A hyperbolic free boundary problem existence uniqueness and discretization |
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Authors: | Martin Brokate |
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Institution: | Lehrstuhl f. Angewandte Mathematik I , Universit?t Augsburg , Augsburg, D-8900, West Germany |
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Abstract: | For a one phase free boundary problem for a linear hyperbolic system with constant coefficients in one space dimension with nonlinear boundary conditions we prove existence, uniqueness and continuous dependence of a Lipschitz continuous solution using the method of characteristics. A semidiscrete version of front tracking is shown to be linearly convergent. |
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