Gaussian bounds for propagators perturbed by potentials
From MaRDI portal
Publication:2504366
DOI10.1016/j.jfa.2006.04.010zbMath1104.47043OpenAlexW2051594403MaRDI QIDQ2504366
Hendrik Vogt, Vitali Liskevich, Juergen Voigt
Publication date: 25 September 2006
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2006.04.010
perturbation theorypropagatorevolution familyevolution semigroupGaussian boundMiyadera perturbationnon-autonomous Kato class
One-parameter semigroups and linear evolution equations (47D06) Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03)
Related Items (11)
Localization and Schrödinger perturbations of kernels ⋮ Scattering in the energy space for the NLS with variable coefficients ⋮ On combinatorics of Schrödinger perturbations ⋮ Non-autonomous honesty theory in abstract state spaces with applications to linear kinetic equations ⋮ Sharp Gaussian estimates for heat kernels of Schrödinger operators ⋮ On the initial value problem of a class of models of the kinetic theory for active particles ⋮ A perturbation theorem for abstract linear non-autonomous systems with an application to a mixed hyperbolic problem ⋮ Classes of time-dependent measures, non-homogeneous Markov processes, and Feynman-Kac propagators ⋮ Kernel estimates and \(L^p\)-spectral independence of generators of \(C_0\)-semigroups ⋮ Nonautonomous fragmentation equation via evolution semigroups ⋮ Spectral Consequences due to General Hölder’s Inequalities and Domination of Semigroups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniformly elliptic operators on Riemannian manifolds
- On the parabolic kernel of the Schrödinger operator
- Absorption semigroups, their generators, and Schrödinger semigroups
- A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
- Dyson-Phillips expansion and unbounded perturbations of linear \(c_ 0\)- semigroups
- Time dependent perturbations and scattering of strongly continuous groups on Banach spaces
- On the perturbation theory for strongly continuous semigroups
- The non-autonomous Kato class
- Absorption semigroups and Dirichlet boundary conditions
- Dominated semigroups with singular complex potentials
- On the heat equation with a time-dependent singular potential
- Absorption evolution families and exponential stability of non-autonomous diffusion equations
- Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
- Perturbation of Dirichlet forms by measures
- The Feller property for absorption semigroups
- Stationary scattering theory for time-dependent Hamiltonians
- Schrödinger semigroups
- Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications
- Explicit Constants for Gaussian Upper Bounds on Heat Kernels
- Brownian motion and harnack inequality for Schrödinger operators
- On Abstract Linear Evolution Equations, I
- The State of the Art for Heat Kernel Bounds on Negatively Curved Manifolds
- On a parabolic equation with a singular lower order term. Part II: The Gaussian bounds
- Estimates of Green functions and their applications for parabolic operators with singular potentials
- Estimates for Fundamental Solutions of Second-Order Parabolic Equations
- On a parabolic equation with a singular lower order term
- Nonautonomous Kato classes of measures and Feynman-Kac propagators
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- Non-autonomous Miyadera perturbations
This page was built for publication: Gaussian bounds for propagators perturbed by potentials