We give several conditions implying that the spectral bound of the generator of a $C_0$-semigroup is negative. Applications to stability theory are considered
This paper concerns systems of the form $\dot{x}(t) = Ax(t)$, $y(t) = Cx(t)$, where $A$ generates a ...
AbstractAfter the appearance of W. Arendt's result that “Gaussian estimate of a semigroup implies th...
We obtain new stability results for those properties of C0-semigroups which admit characterisation i...
Let {S(t): t≥0} be a C0-semigroup on a Banach space Y with generator B and {T(t): t≥0} be a bounded ...
AbstractLet {S(t):t⩾0} be aC0-semigroup on a Banach spaceYwith generatorBand {T(t):t⩾0} be a bounded...
Abstract. In this article we survey results concerning asymptotic properties of C0-semigroups on Ban...
Abstract. It is a well-known fact that many properties, of a compact semigroup, are preserved under ...
Let $A$ be the generator of a uniformly bounded $C_0$-semigroup in a Banach space $X$ such that $A$ ...
Abstract. We introduce a new growth bound for C0-semigroups giving information about the absence of ...
Dedicated to Rainer Nagel on the occasion of his 68th birthday Abstract. Let X be a Banach space wit...
We study polynomial and exponential stability for C0-semigroups using the recently developed theory ...
Stability of weighted composition strongly continuous semigroups acting on Lebesgue and Sobolev spac...
We study the asymptotic behaviour of individual orbits T(·)x of a uniformly bounded Co-semigroup {T(...
Abstract. We study the asymptotic behaviour of individual orbits T ()x of a uniformly bounded C0-sem...
Let $A$ be the generator of a uniformly bounded $C_0$-semigroup on the Banach space $X$. We present ...
This paper concerns systems of the form $\dot{x}(t) = Ax(t)$, $y(t) = Cx(t)$, where $A$ generates a ...
AbstractAfter the appearance of W. Arendt's result that “Gaussian estimate of a semigroup implies th...
We obtain new stability results for those properties of C0-semigroups which admit characterisation i...
Let {S(t): t≥0} be a C0-semigroup on a Banach space Y with generator B and {T(t): t≥0} be a bounded ...
AbstractLet {S(t):t⩾0} be aC0-semigroup on a Banach spaceYwith generatorBand {T(t):t⩾0} be a bounded...
Abstract. In this article we survey results concerning asymptotic properties of C0-semigroups on Ban...
Abstract. It is a well-known fact that many properties, of a compact semigroup, are preserved under ...
Let $A$ be the generator of a uniformly bounded $C_0$-semigroup in a Banach space $X$ such that $A$ ...
Abstract. We introduce a new growth bound for C0-semigroups giving information about the absence of ...
Dedicated to Rainer Nagel on the occasion of his 68th birthday Abstract. Let X be a Banach space wit...
We study polynomial and exponential stability for C0-semigroups using the recently developed theory ...
Stability of weighted composition strongly continuous semigroups acting on Lebesgue and Sobolev spac...
We study the asymptotic behaviour of individual orbits T(·)x of a uniformly bounded Co-semigroup {T(...
Abstract. We study the asymptotic behaviour of individual orbits T ()x of a uniformly bounded C0-sem...
Let $A$ be the generator of a uniformly bounded $C_0$-semigroup on the Banach space $X$. We present ...
This paper concerns systems of the form $\dot{x}(t) = Ax(t)$, $y(t) = Cx(t)$, where $A$ generates a ...
AbstractAfter the appearance of W. Arendt's result that “Gaussian estimate of a semigroup implies th...
We obtain new stability results for those properties of C0-semigroups which admit characterisation i...