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arXiv · 1309.6448

Characteristic boundary value problems: estimates from H1 to L2

Alessandro Morando·Paolo Secchi·Paola Trebeschi
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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 H1_tan, can be transformed into an L2 a priori estimate of the same problem.

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Alessandro Morando, Paolo Secchi, Paola Trebeschi. 2013-09-25. Characteristic boundary value problems: estimates from H1 to L2. https://arxiv.org/abs/1309.6448

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