On coerciveness in Besov spaces for abstract parabolic equations of higher order

Yamamoto, Yoshitaka

Studia Mathematica, Tome 133 (1999), p. 79-98 / Harvested from The Polish Digital Mathematics Library

Résumé

We are concerned with a relation between parabolicity and coerciveness in Besov spaces for a higher order linear evolution equation in a Banach space. As proved in a preceding work, a higher order linear evolution equation enjoys coerciveness in Besov spaces under a certain parabolicity condition adopted and studied by several authors. We show that for a higher order linear evolution equation coerciveness in Besov spaces forces the parabolicity of the equation. We thus conclude that parabolicity and coerciveness in Besov spaces are equivalent.

Détail

Publié le : 1999-01-01

Zbl 0938.47032

EUDML-ID : urn:eudml:doc:216624

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