Geodesic
On coerciveness in Besov spaces for abstract parabolic equations of higher order
Studia Mathematica, Tome 134 (1999) no. 1, pp. 79-98

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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. 
Yoshitaka Yamamoto. On coerciveness in Besov spaces for abstract parabolic equations of higher order. Studia Mathematica, Tome 134 (1999) no. 1, pp. 79-98. doi: 10.4064/sm-134-1-79-98
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