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

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Yamamoto Y.

Studia Mathematica

1999

tom 134

nr 1

79-98

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.

Ograniczanie wyników

1 Studia Mathematica

1 Yamamoto Y.

1 1999

Wyniki wyszukiwania

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