Preprint 2004-009

Well-Posedness of Hyperbolic Initial Boundary Value Problems

Abstract: Assuming that a hyperbolic initial boundary value problem satisfies an a priori energy estimate with a loss of one tangential derivative, we show a well-posedness result in the sense of Hadamard. The coefficients are assumed to have only finite smoothness in view of applications to nonlinear problems. This shows that the weak Lopatinskii condition is roughly sufficient to ensure well-posedness in appropriate functional spaces.

Paper:

Available as PDF (312 Kbytes).

Author(s):

Jean-Francois Coulombel, <jfcoulom@math.univ-lille1.fr>

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<jfcoulom@math.univ-lille1.fr> March 18 2004.