Results 241 to 250 of about 67,904 (284)

Boundary perturbation of m-dissipative operators

Archiv der Mathematik, 2022
Let \(X\) be a Banach space and \(A:X\rightarrow X\) a (possibly unbounded) linear operator on \(X\). We denote by \(D(A)\) the domain of \(A\) and by \(R(A)\) its range. We say that \(A\) is dissipative if \(\left\Vert (\lambda -A)x\right\Vert \geq \lambda \left\Vert x\right\Vert \) for all \(x\in D(A)\) and all \(\lambda >0\).
A. Amansag, A. Boulouz
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Invariant Systems with Dissipative Operators

Bulletin of the Iranian Mathematical Society, 2018
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Moufida Amiour, Mustapha Fateh Yarou
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DISSIPATIVE VOLTERRA OPERATORS

Mathematics of the USSR-Sbornik, 1968
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Density and current of a dissipative Schrödinger operator

Journal of Mathematical Physics, 2002
We regard a current flow through an open one-dimensional quantum system which is determined by a dissipative Schrödinger operator. The imaginary part of the corresponding form originates from Robin boundary conditions with certain complex valued coefficients imposed on Schrödinger’s equation.
Rehberg, Joachim, Neidhardt, Hagen, Kaiser, Hans-Christoph   +2 more
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Eigenfunction for dissipative dynamic operators and the attractor of the dissipative structure

Physical Review E, 1993
This study shows that the states with the minimum dissipation rate in general dissipative dynamic systems are expressed by the eigenfunctions for the dissipative dynamic operators. These eigenfunctions are shown to constitute the self-organized and self-similar decay phase as the attractor of the dissipative structure.
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Spectral analysis of dissipative Schrödinger operators

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1997
Dissipative Schrodinger operators are studied in L2(0, ∞) which are extensions of symmetric operators with defect index (2, 2). We construct a selfadjoint dilation and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix according to the scheme of Lax and Phillips.
CANOGLU, A, Allahverdiev, Bilender
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Dissipative Schrödinger Operators with Matrix Potentials

Potential Analysis, 2004
Lax-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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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, DE ANGELIS, MONICA, RENNO, PASQUALE   +2 more
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m-dissipative operators

1998
Abstract Throughout this chapter, X is a Banach space, endowed with the norm II 11-Remark 2.1.2. Note that a linear unbounded operator can be either bounded or not bounded. This somewhat strange terminology is in general use and should not lead to misunderstanding in our applications. Remark 2.1.5.
Thierry Cazenave, Alain Haraux, Yvan Martel   +2 more
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Dissipative operators and cohomology of operator algebras

Letters in Mathematical Physics, 1976
It 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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