Results 201 to 210 of about 193,737 (236)
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On Strongly Continuous Markovian Semigroups
Springer Proceedings in Mathematics and Statistics, 2022Zhen-Qing Chen, Chen Zhen-Qing
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On the spectral mapping theorem for perturbed strongly continuous semigroups
Archiv Der Mathematik, 2000S. Brendle, R. Nagel, J. Poland
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Strongly continuous dual semigroups
Annali di Matematica Pura ed Applicata, 1996The authors restrict the adjoint \(A'\) of a generator A of a strongly continuous semigroup on a Banach space \(X\) to certain closed subspaces E of \(F'\) and show, under appropriate conditions, that this restriction is a generator. The main part of the paper consists of applications to elliptic operators with boundary conditions.
Amann, Herbert, Escher, Joachim
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Boundary triplets for skew-symmetric operators and the generation of strongly continuous semigroups
, 2016We give a self-contained and streamlined exposition of a generation theorem for C0-semigroups based on the method of boundary triplets. We apply this theorem to port-Hamiltonian systems where we discuss recent results appearing in stability and control ...
Sven-Ake Wegner
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Polynomially Compact-Like Strongly Continuous Semigroups
Acta Applicandae Mathematica, 2004Several results concerning the class of semigroups of operators \((T(t))_{t\geq 0}\) on a Banach space \(X\) such that \(T(s) - I\) is compact for some \(s>0\) are known. The authors study semigroups for which there exists a (nontrivial) polynomial \(p\) such that, for some \(s>0\), \(p(T(s))\) belongs to a two-sided ideal of the algebra \(B(X ...
Latrach, Khalid, Paoli, J. Martin
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Strongly Continuous Semigroups
1990This chapter contains a short introduction to the theory of strongly continuous semigroups.
Israel Gohberg +2 more
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Strongly Continuous Semigroups and Stochastic Representation
Journal of the London Mathematical Society, 2002Second‐order elliptic operators realized under Dirichlet boundary conditions in bounded domains are shown to generate strongly continuous semigroups in the topology of uniform convergence. The stochastic representation and integral representation with kernel for the strongly continuous semigroups are given.
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Strongly Continuous Semigroups
1998This chapter is devoted to strongly continuous semigroups of operators. It is well-known that the mentioned semigroups are the basic instrument for investigation of differential equations with constant operators in Banach and Hilbert spaces. Wide classes of autonomous distributed parameter systems are governed by such equations.
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Operator Multipliers Generating Strongly Continuous Semigroups
Semigroup Forum, 1997Let \(X\) be a Banach space. Given a family of (not necessarily bounded) operators on \(X\), \(\{A(s):s\in\mathbb{R}\}\). We can define an operator \(\mathcal A\) on \(C_0(\mathbb{R},X)\) by \[ ({\mathcal A})(s)= A(s)f(s)\quad\text{for}\quad f\in D({\mathcal A})\quad\text{and} \quad s\in\mathbb{R}, \] for a suitable definition of the domain \(D ...
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Maximal asymptotics of certain class of strongly continuous semigroups
2017 25th Mediterranean Conference on Control and Automation (MED), 2017We consider a class of first order linear differential equations given in infinite-dimensional space. We study asymptotic behavior of individual solutions in the context of stability. In particular, we are looking for the slowest decaying solution, that is maximal asymptotic. We present some new result on nonexistence of maximal asymptotics for certain
Piotr Polak, Grigory M. Sklyar
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