On coerciveness in Besov spaces for abstract parabolic equations of higher order
Studia Mathematica, Tome 134 (1999) no. 1, pp. 79-98
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_sm_134_1_79_98,
author = {Yoshitaka Yamamoto},
title = {On coerciveness in {Besov} spaces for abstract parabolic equations of higher order},
journal = {Studia Mathematica},
pages = {79--98},
publisher = {mathdoc},
volume = {134},
number = {1},
year = {1999},
doi = {10.4064/sm-134-1-79-98},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-134-1-79-98/}
}
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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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