17 citations · 58 across the 15 of their papers we have counts for
17 papers
Sharp Gaussian upper bounds for Schrödinger semigroups on the half-line
Paul Holst, Hendrik Vogt
In 1998, V. Liskevich and Y. Semenov showed sharp Gaussian upper bounds for Schrödinger semigroups on with potentials satisfying a global Kato class condition. Using…
On sequences of sectorial forms converging `from above'
Hendrik Vogt, Jürgen Voigt
We present a form convergence theorem for sequences of sectorial forms and their associated semigroups in a complex Hilbert space. Roughly speaking, the approximating forms a…
Stability of uniformly eventually positive -semigroups on -spaces
Hendrik Vogt
We give a short and elementary proof of the theorem of Lutz Weis that the growth bound of a positive -semigroup on equals the spectral bound of its generator. In addi…
On Hausdorff measure and an inequality due to Maz'ya
Hendrik Vogt, Jürgen Voigt
We give an "elementary" proof of an inequality due to Maz'ya. As a prerequisite we prove an approximation property for the Hausdorff measure. We also comment on the relations betwe…
Increasing sequences of sectorial forms
Hendrik Vogt, Jürgen Voigt
We prove convergence results for `increasing' sequences of sectorial forms. We treat both the case of closed forms and the case of non-closable forms.
A note on perturbations of -semigroups
Christian Seifert, Hendrik Vogt, Marcus Waurick
This article deals with a variation of constants type inequality for semigroups acting consistently on a scale of Banach spaces. This inequality can be characterized by a correspon…
Holomorphic families of forms, operators and -semigroups
Hendrik Vogt, Jürgen Voigt
If is a holomorphic function with values in the sectorial forms in a Hilbert space, then the associated operator valued function is resolvent holomorp…
Numerical Range and Quadratic Numerical Range for Damped Systems
Birgit Jacob, Christiane Tretter, Carsten Trunk +1
We prove new enclosures for the spectrum of non-selfadjoint operator matrices associated with second order linear differential equations $\ddot{z}(t) + D \dot{z} (t) + A_0 z(t) = 0…
-estimates for the torsion function and -growth of semigroups satisfying Gaussian bounds
Hendrik Vogt
We investigate selfadjoint -semigroups on Euclidean domains satisfying Gaussian upper bounds. Major examples are semigroups generated by second order uniformly elliptic operat…
On the -theory of -semigroups associated with second-order elliptic operators with complex singular coefficients
A. F. M. ter Elst, Vitali Liskevich, Zeev Sobol +1
We study -theory of second-order elliptic divergence type operators with complex measurable coefficients. The major aspect is that we allow complex coefficients in the main pa…
On the numerical range of generators of symmetric -contractive semigroups
Markus Haase, Peer Christian Kunstmann, Hendrik Vogt
A result by Liskevich and Perelmuter from 1995 yields the optimal angle of analyticity for symmetric submarkovian semigroups on , . C.~Kriegler showed in 2011 that…
Bands in -spaces
Hendrik Vogt, Jürgen Voigt
For a general measure space , it is shown that for every band in there exists a decomposition such that $M=L_p(μ')=\{f\in L_p(μ);f=0\ μ^…
A note on absorption semigroups and regularity
Amir Manavi, Hendrik Vogt, Jürgen Voigt
It is shown that, in the theory of absorption semigroups, two possible ways of defining regularity for absorption rates are in fact equivalent.
A generalisation of the form method for accretive forms and operators
A. F. M. ter Elst, Manfred Sauter, Hendrik Vogt
The form method as popularised by Lions and Kato is a successful device to associate m-sectorial operators with suitable elliptic or sectorial forms. McIntosh generalised the form…
-estimates for eigenfunctions and heat kernel estimates for semigroups dominated by the free heat semigroup
Hendrik Vogt
We investigate selfadjoint positivity preserving -semigroups that are dominated by the free heat semigroup on . Major examples are semigroups generated by Dirichl…
A weak Gordon type condition for absence of eigenvalues of one-dimensional Schrödinger operators
Christian Seifert, Hendrik Vogt
We study one-dimensional Schrödinger operators with complex measures as potentials and present an improved criterion for absence of eigenvalues which involves a weak local periodic…
Note on basic features of large time behaviour of heat kernels
Matthias Keller, Daniel Lenz, Hendrik Vogt +1
Large time behaviour of heat semigroups (and more generally, of positive selfadjoint semigroups) is studied. Convergence of the semigroup to the ground state and of averaged logari…