Geodesic
On coerciveness in Besov spaces for abstract parabolic equations of higher order
Studia Mathematica, Tome 134 (1999) no. 1, pp. 79-98 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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     title = {On coerciveness in {Besov} spaces for abstract parabolic equations of higher order},
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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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