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Necessary conditions for the well-posedness of Schrödinger type equations in Gevrey spaces

✍ Scribed by Michael Dreher

Publisher: Elsevier Science
Year: 2003
Tongue: French
Weight: 169 KB
Volume: 127
Category: Article
ISSN: 0007-4497
DOI: 10.1016/s0007-4497(03)00026-5

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✦ Synopsis

We discuss evolution operators of Schrödinger type which have a non-self-adjoint lower order term and give a necessary condition for the Cauchy problem to such operators to be well-posed in Gevrey spaces. Under an additional assumption, this necessary condition is sharp.

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