Results 251 to 260 of about 67,904 (284)

Dissipative Operators and Quasianalytic and Integral Vectors

Journal of Mathematical Sciences, 2001
The 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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The spectral projections of dissipative operators

Journal of Soviet Mathematics, 1991
See the review in Zbl 0667.47008.
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RELATIVELY OPERATOR LIPSCHITZ FUNCTIONS OF DISSIPATIVE OPERATORS

Доклады Российской академии наук. Математика, информатика, процессы управления / Doklady Mathematics
In this note we study the behaviour of functions of maximal dissipative operators under relatively bounded and relatively trace class perturbations. We introduce the class of analytic relatively operator Lipschitz functions.We obtain a formula for the derivative in the strong operator topology in the parameter of functions of one-parametric families of
A.B. Aleksandrov, V.V. Peller
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Extensions of closed dissipative operators

Mathematical Notes of the Academy of Sciences of the USSR, 1973
Let 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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Dissipative Sturm-Liouville operators

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
SynopsisConsider the differential expressionwherepandw> 0 are real-valued andqis complex-valued onI. A number of criteria are established for certain extensions of the minimal operator generated by τ in the weighted Hilbert spaceto be maximal dissipative.
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On left invariant dissipative operators

Archiv der Mathematik, 1985
Let 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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\(L^p\)-dissipativity of the Lamé operator

2013
Summary: We study conditions for the \(L^p\)-dissipativity of the classical linear elasticity operator. In the two-dimensional case we show that \(L^p\)-dissipativity is equivalent to the inequality \[ \Biggl({1\over 2}-{1\over p}\Biggr)^2\leq {2(\nu- 1)(2\nu- 1)\over (3- 4\nu)^2}. \] Previously [the authors, Ric. Mat. 55, No.
CIALDEA, Alberto, V. Maz'ya
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Dissipative Operators and Approximation of Inverses

Bulletin of the London Mathematical Society, 1979
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Dissipative Operator

2020
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The Rate of Convergence on Fractional Power Dissipative Operator on Compact Manifolds

Fractional Calculus and Applied Analysis, 2021
Dashan Fan, Junyan Zhao
exaly