On a Priori Energy Estimates for Characteristic Boundary Value Problems |
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Authors: | Alessandro Morando Paolo Secchi Paola Trebeschi |
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Institution: | 1. DICATAM, Sezione di Matematica, Università di Brescia, Via Valotti, 9, 25133?, Brescia, Italy
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Abstract: | Motivated by the study of certain non linear free-boundary value problems for hyperbolic systems of partial differential equations arising in Magneto-Hydrodynamics, in this paper we show that an a priori estimate of the solution to certain boundary value problems, in the conormal Sobolev space \(H^1_{ tan}\) , can be transformed into an \(L^2\) a priori estimate of the same problem. |
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