Maximal Regularity for Nonautonomous Evolution Equations
From MaRDI portal
Publication:4661809
DOI10.1515/ans-2004-0404zbMath1072.35103OpenAlexW2513763016MaRDI QIDQ4661809
Publication date: 30 March 2005
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://www.zora.uzh.ch/id/eprint/21760/1/mrnee.pdf
Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06)
Related Items
Optimal Control of Quasilinear Parabolic PDEs with State-Constraints ⋮ Maximal regularity, the local inverse function theorem, and local well-posedness for the curve shortening flow ⋮ Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization ⋮ Linear and nonlinear abstract differential equations of high order ⋮ Hölder-estimates for non-autonomous parabolic problems with rough data ⋮ Closedness and invertibility for the sum of two closed operators ⋮ On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes ⋮ A regularity criterion for the Keller-Segel-Euler system ⋮ Stability for non-autonomous linear evolution equations with L p -maximal regularity ⋮ Weak solutions for nonlocal boundary value problems with low regularity data ⋮ \(L^{p}\)-maximal regularity for nonautonomous evolution equations ⋮ A global regularity result for the 2D generalized magneto-micropolar equations ⋮ Global Cauchy problem of 2D generalized magnetohydrodynamic equations ⋮ Blow-up criteria for a Keller-Segel-Navier-Stokes system in a bounded domain ⋮ Non-autonomous maximal regularity in Hilbert spaces ⋮ Global Cauchy problem of 2D generalized MHD equations ⋮ A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid ⋮ Some classes of inverse problems of determining the source function in convection-diffusion systems ⋮ Global regularity for the 2D magneto-micropolar equations with partial and fractional dissipation ⋮ Global regularity for the initial-boundary value problem of the 2-D Boussinesq system with variable viscosity and thermal diffusivity ⋮ Blow up criterion for a hyperbolic-parabolic system arising from chemotaxis ⋮ Second order optimality conditions for optimal control of quasilinear parabolic equations ⋮ UMD Banach spaces and the maximal regularity for the square root of several operators ⋮ Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms ⋮ Non-autonomous maximal regularity for forms of bounded variation ⋮ Nonautonomous parabolic equations involving measures ⋮ Global well-posedness and large-time decay for the 2D micropolar equations ⋮ On blow-up criteria for a coupled chemotaxis fluid model ⋮ Solvability of initial boundary value problems for non-autonomous evolution equations ⋮ Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions ⋮ Maximal regularity for non-autonomous equations with measurable dependence on time ⋮ Global regularity and time decay for the 2D magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion ⋮ Maximal regularity for non-autonomous Schrödinger type equations ⋮ Improved extensibility criteria and global well-posedness of a coupled chemotaxis-fluid model on bounded domains ⋮ On some inverse problems for first order operator-differential equations ⋮ A new well-posed nonlinear nonlocal diffusion ⋮ Stochastic MHD equations with fractional kinematic dissipation and partial magnetic diffusion in \(\mathbb{R}^2\) ⋮ Global strong solutions to a coupled chemotaxis-fluid model with subcritical sensitivity ⋮ Regularity criteria for the incompressible magnetohydrodynamic equations with partial viscosity ⋮ On maximal parabolic regularity for non-autonomous parabolic operators ⋮ Parabolic Equations on Uniformly Regular Riemannian Manifolds and Degenerate Initial Boundary Value Problems ⋮ Global well-posedness for the 2D micropolar Rayleigh-Bénard convection problem without velocity dissipation ⋮ On convergence of solutions to equilibria for quasilinear parabolic problems ⋮ A new nonlocal nonlinear diffusion of image processing ⋮ A blow-up criterion for the modified Navier-Stokes-Fourier equations ⋮ Maximal regularity of parabolic transmission problems ⋮ Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions ⋮ Convergence of the SQP method for quasilinear parabolic optimal control problems ⋮ Rubio de Francia extrapolation theorem and related topics in the theory of elliptic and parabolic equations. A survey ⋮ Functional analytic properties and regularity of the Möbius-invariant Willmore flow in \(\mathbb{R}^n\) ⋮ Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities ⋮ Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs ⋮ Bounded weak solutions to a matrix drift–diffusion model for spin-coherent electron transport in semiconductors ⋮ Global Regularity for the 2D MHD Equations with Partial Hyper-resistivity ⋮ Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces ⋮ Global existence and uniqueness of weak solutions in critical spaces for a mathematical model in superfluidity ⋮ Global regularity of the 2D generalized MHD equations with velocity damping and Laplacian magnetic diffusion
Cites Work
- Linear parabolic equations with singular potentials.
- On the closedness of the sum of two closed operators
- Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations
- A solution to the problem of \(L^p\)-maximal regularity
- Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time
