We consider an initial-boundary value problem for a linear Friedrichs symmetrizable system, with characteristic boundary of constant rank. Assuming that the problem is L2 well posed, we show the regularity of the L2 solution, for sufficiently smooth data, in the framework of anisotropic Sobolev spaces.
Characteristic initial boundary value problems for symmetrizable systems
MORANDO, Alessandro;SECCHI, Paolo;TREBESCHI, Paola
2009-01-01
Abstract
We consider an initial-boundary value problem for a linear Friedrichs symmetrizable system, with characteristic boundary of constant rank. Assuming that the problem is L2 well posed, we show the regularity of the L2 solution, for sufficiently smooth data, in the framework of anisotropic Sobolev spaces.File in questo prodotto:
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