Shigeo Tarama
Abstract:
Mizuhara [2] obtained conditions for the Cauchy
problem of a fourth-order dispersive operator to be well
posed in the L^2 sense. Two of those conditions
were shown to be necessary under additional assumptions.
In this article, we prove the necessity without the additional
assumptions.
Submitted August 16, 2011. Published December 14, 2011.
Math Subject Classifications: 37L50, 16D10.
Key Words: Dispersive operators; Cauchy problem; well posed.
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| Shigeo Tarama Lab. of Applied Mathematics, Faculty of Engineering Osaka City University, Osaka 558-8585, Japan email: starama@mech.eng.osaka-cu.ac.jp |
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