Perron's method for quasilinear hyperbolic systems: Part I |
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Authors: | Penelope Smith |
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Affiliation: | Lehigh University, Bethlehem, PA 18015, USA |
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Abstract: | We define a notion of viscosity solution (sub-, supersolution) for these systems, prove a comparison principle and we prove existence of viscosity solutions using a Perron like method. In Part I, we do all the above except prove existence using the Perron method. |
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Keywords: | Hyperbolic systems Viscosity solutions |
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