Well-Posedness of Hyperbolic Initial Boundary Value Problems
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.
- Available as PDF (312 Kbytes).
- Jean-Francois Coulombel,
- Publishing information:
- Submitted by:
March 18 2004.
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