Non-autonomous Miyadera perturbations
From MaRDI portal
Publication:5933749
zbMath0980.34056MaRDI QIDQ5933749
Frank Räbiger, Abdelaziz Rhandi, Juergen Voigt, Roland Schnaubelt
Publication date: 14 June 2001
Published in: Differential and Integral Equations (Search for Journal in Brave)
perturbationabstract Cauchy problemevolution semigroupexponential bounded evolution familyMiyadera condition
Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Perturbation theory of linear operators (47A55) Linear differential equations in abstract spaces (34G10) Second-order parabolic equations (35K10)
Related Items
A general Trotter--Kato formula for a class of evolution operators, Non-autonomous honesty theory in abstract state spaces with applications to linear kinetic equations, Regularity properties of some perturbations of non-densely defined operators with applications, A perturbation theorem for abstract linear non-autonomous systems with an application to a mixed hyperbolic problem, Well-posedness and asynchronous exponential growth of an age-weighted structured fish population model with diffusion in \(L^1\), Classes of time-dependent measures, non-homogeneous Markov processes, and Feynman-Kac propagators, Resolvents of operators and partial functional differential equations with nonautonomous past., Rescaled Objective Solutions of Fokker--Planck and Boltzmann equations, Partial differential equations with nonautonomous past in Favard spaces, Majorization, 4G theorem and Schrödinger perturbations, A population dynamics model with nonautonomous past, Nonautonomous fragmentation equation via evolution semigroups, Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time, Gaussian bounds for propagators perturbed by potentials, Well-posedness and stability of nonautonomous past systems with unbounded operators in the delay term, Nonautonomous Kato classes of measures and Feynman-Kac propagators, On the heat equation with a time-dependent singular potential, Robustness of noninvertible dichotomies, Classes of time-dependent measures and the behavior of Feynman-Kac propagators, Estimating long-term behavior of periodically driven flows without trajectory integration
