Characteristic boundary value problems: estimates from H1 to L2
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 H1tan, can be transformed into an L2 a priori estimate of the same problem.
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