Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem
From MaRDI portal
Publication:5954413
zbMath0993.34058MaRDI QIDQ5954413
Publication date: 4 February 2002
Published in: Advances in Differential Equations (Search for Journal in Brave)
One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10)
Related Items
Maximal \(L^1\)-regularity of generators for bounded analytic semigroups in Banach spaces ⋮ A refinement of Baillon’s theorem on maximal regularity ⋮ On nonlinear Miyadera-Voigt perturbations ⋮ On the admissibility of observation operators for evolution families ⋮ On the solvability of an abstract Cauchy problem ⋮ Global existence, uniqueness and stability for nonlinear dissipative bulk-interface interaction systems ⋮ On the admissibility of observation operators in the context of maximal regularity ⋮ Critical regularity issues for the compressible Navier-Stokes system in bounded domains ⋮ Stability analysis for stationary solutions of the Mullins–Sekerka flow with boundary contact ⋮ An abstract transmission problem in a thin layer, I: Sharp estimates ⋮ Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ UMD Banach spaces and the maximal regularity for the square root of several operators ⋮ Parabolic equations with dynamical boundary conditions and source terms on interfaces ⋮ An inverse problem for a parabolic integrodifferential model in the theory of combustion ⋮ On the maximal regularity for perturbed autonomous and non-autonomous evolution equations ⋮ Unnamed Item ⋮ Some results based on maximal regularity regarding population models with age and spatial structure ⋮ Maximal regularity for non-autonomous equations with measurable dependence on time ⋮ Stability properties of stochastic maximal \(L^p\)-regularity ⋮ Maximal regularity of evolution equations on discrete time scales ⋮ On maximal parabolic regularity for non-autonomous parabolic operators ⋮ Uniform stabilization of Navier-Stokes equations in critical \(L^q\)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ Uniform stabilization of 3D Navier-Stokes equations in low regularity Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers ⋮ Maximal regularity, analytic semigroups, and dynamic and general Wentzell boundary conditions with a diffusion term on the boundary ⋮ Maximal \(L^p\)-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems ⋮ Stochastic maximal regularity for rough time-dependent problems ⋮ The 3D transient semiconductor equations with gradient-dependent and interfacial recombination ⋮ Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory ⋮ The Stokes operator in two-dimensional bounded Lipschitz domains ⋮ Elliptic and parabolic boundary value problems in weighted function spaces ⋮ Maximal \(\gamma\)-regularity ⋮ The square root problem for second-order, divergence form operators with mixed boundary conditions on \(L^p\) ⋮ A unified framework for parabolic equations with mixed boundary conditions and diffusion on interfaces ⋮ Staffans-Weiss perturbations for maximal \(L^p\)-regularity in Banach spaces ⋮ Quasi-Linear Parabolic Reaction-Diffusion Systems: A User's Guide to Well-Posedness, Spectra, and Stability of Travelling Waves
