We construct the fundamental solution for a weakly hyperbolic operator satisfying an intermediate condition between effective hyperbolicity and the Levi condition. By the fundamental solution, we obtain the well-posedness in $C^{infty}$ of the Cauchy problem.
The fundamental solution for a second order weakly hyperbolic Cauchy problem
CICOGNANI, MASSIMO;
2007
Abstract
We construct the fundamental solution for a weakly hyperbolic operator satisfying an intermediate condition between effective hyperbolicity and the Levi condition. By the fundamental solution, we obtain the well-posedness in $C^{infty}$ of the Cauchy problem.File in questo prodotto:
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