Geodesic
Holomorphic operator semigroups with strong degeneration
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 68-74 
V. E. Fedorov. Holomorphic operator semigroups with strong degeneration. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 68-74. http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a9/
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     url = {http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the work strongly holomorphic semigroups of the Sobolev type equation $L\dot u(t)=Mu(t)$ in a locally convex space degenerating on chains of $M$-adjoint vectors of operator $M$ of arbitrary length are constructed. It is the case of degenerate semigroups with more “wide” kernel than in the case of $(L,p)$-sectorial operator $M$. The example of an equation having resolving semigroup with strong degeneration is found.

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