Geodesic
Holomorphic operator semigroups with strong degeneration
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 68-74

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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. 
@article{VCHGU_2008_10_a9,
     author = {V. E. Fedorov},
     title = {Holomorphic operator semigroups with strong degeneration},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {68--74},
     publisher = {mathdoc},
     number = {10},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a9/}
}
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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/