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Dissipative operators with impulsive conditions
Journal of Mathematical Chemistry, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uğurlu, Ekin, Bairamov, Elgiz
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Dissipative Schrödinger Operators with Matrix Potentials
Potential Analysis, 2004Lax-Phillips scattering theory and Nagy-Foias' theory of functional models are used for the study of the spectral properties of maximal dissipative extensions of the minimal operator \(L_{0}\) generated by the differential expression \(-y''(x)+Q(x)y(x)\) on \((-\infty,\infty)\).
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Conservative Correction Procedures Utilizing Artificial Dissipation Operators
Journal of Computational Physics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dissipative operators and cohomology of operator algebras
Letters in Mathematical Physics, 1976It is proved that an ultraweakly continuous completely dissipative operator on a W*-algebra A has a canonical form in terms of a completely positive map and a Hamiltonian provided that the cohomology groups of A with coefficients in a dual normal A-module are zero.
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Fundamental solution of a dissipative operator [PDF]
, 1997 Summary: The fundamental solution \(K\) of a third-order operator \(L_\varepsilon\) is explicitly determined and various properties of \(K\) are analyzed. As an example of applications, the explicit solution of the initial-valued problem with arbitrary data is deduced.
D'ACUNTO, BERARDINO +2 more
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Extensions of closed dissipative operators
Mathematical Notes of the Academy of Sciences of the USSR, 1973Let B be a closed dissipative operator in a Hilbert space H with an arbitrary domain of definition. We will give a description of all closed (and, in particular, closed maximal) dissipative extensions\(\tilde B\) of B in terms of extensions\(\tilde W\) of a nonexpanding operator W associated with B.
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On left invariant dissipative operators
Archiv der Mathematik, 1985Let G be a locally compact group and let \((\mu_ t)_{t\geq 0}\) be a continuous semigroup of bounded measures with \(\| \mu_ t\| \leq 1\), \(\mu_ 0=\epsilon_ 0\). Let \((A_ t)\) be the corresponding semigroup of left invariant contractions \(f\to \mu_ t*f\) on \(C_ 0(G)\).
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Dissipative Operators and Holomorphic Semigroups
2017In this chapter we continue the study of \(C_0\)-semigroups concentrating on contractive and holomorphic semigroups.
Kalyan B. Sinha, Sachi Srivastava
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Dissipative Operators and Quasianalytic and Integral Vectors
Journal of Mathematical Sciences, 2001The vector \(x\) is called quasianalytic, if the set \(C_{\{\|A^nx\|\}}\) consists of the quasianalytic functions. The author proves the following assertion. If the dissipative operator \(A\) has a dense set of quasianalytic vectors, then the operator \(A\) is maximally dissipative.
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