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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 3, Pages 678–693
(Mi smj1321)
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This article is cited in 7 scientific papers (total in 7 papers)
Solvability of boundary value problems for operator-differential equations of mixed type: the degenerate case
S. G. Pyatkov, N. L. Abasheieva Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We obtain some results on solvability of boundary value problems for the equation $Bu_t- Lu= f (t\in(0,\infty))$, where $B$ and $L$ are selfadjoint and dissipative operators defined in a Hilbert space $E$. The kernel of $B$ may be nontrivial and $L$ is uniformly dissipative on a subspace $M$ of finite codimension.
Received: 18.02.2000
Citation:
S. G. Pyatkov, N. L. Abasheieva, “Solvability of boundary value problems for operator-differential equations of mixed type: the degenerate case”, Sibirsk. Mat. Zh., 43:3 (2002), 678–693; Siberian Math. J., 43:3 (2002), 549–561
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https://www.mathnet.ru/eng/smj1321 https://www.mathnet.ru/eng/smj/v43/i3/p678
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