Linear and quasilinear evolution equations in the context of weighted \(L_p\)-spaces

DOI10.1007/s00013-023-01927-1arXiv2309.06024OpenAlexW4388134204MaRDI QIDQ6139354

Publication date: 18 December 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.06024

zbMATH Keywords

quasilinear parabolic equations weighted spaces maximal regularity linear parabolic equation critical spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Abstract parabolic equations (35K90) PDEs in connection with fluid mechanics (35Q35) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Semilinear parabolic equations (35K58) Quasilinear parabolic equations (35K59)

Cites Work

Unnamed Item
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Dynamics of nematic liquid crystal flows: the quasilinear approach
Global attractors in stronger norms for a class of parabolic systems with nonlinear boundary conditions
On quasilinear parabolic evolution equations in weighted \(L_{p}\)-spaces
Parabolic equations with dynamical boundary conditions and source terms on interfaces
Traces and embeddings of anisotropic function spaces
Maximal regularity for non-autonomous equations with measurable dependence on time
Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights
Addendum to the paper ``On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces II
On critical spaces for the Navier-Stokes equations
On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces. II
Weighted estimates for operator-valued Fourier multipliers
Global wellposedness of the primitive equations with nonlinear equation of state in critical spaces
On operators with bounded imaginary powers in Banach spaces
Critical spaces for quasilinear parabolic evolution equations and applications
Strong well-posedness for the phase-field Navier-Stokes equations in the maximal regularity class
On the closedness of the sum of two closed operators
Maximal regularity for evolution equations in weighted \(L_p\)-spaces
Maximal regularity with weights for parabolic problems with inhomogeneous boundary conditions
On the free rotations of rigid bodies with a liquid-filled gap
Regularity results for the nonlocal Cahn-Hilliard equation with singular potential and degenerate mobility
Kinetic maximal \(L^p\)-regularity with temporal weights and application to quasilinear kinetic diffusion equations
The Keller-Segel system on bounded convex domains in critical spaces
\(H^\infty\)-calculus for the surface Stokes operator and applications
Well-posedness for magnetoviscoelastic fluids in 3D
Elliptic and parabolic boundary value problems in weighted function spaces
Rigorous analysis and dynamics of Hibler's sea ice model
Nonlinear parabolic stochastic evolution equations in critical spaces. II: Blow-up criteria and instantaneous regularization
Bounded \(H^\infty\)-calculus for a class of nonlocal operators: the bidomain operator in the \(L_q\)-setting
Incompressible inhomogeneous fluids in bounded domains of \(\mathbb{R}^3\) with bounded density
Stochastic maximal regularity for rough time-dependent problems
Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces
Reaction-diffusion systems of Maxwell-Stefan type with reversible mass-action kinetics
Evolution families and maximal regularity for systems of parabolic equations
Real interpolation with weighted rearrangement invariant Banach function spaces
Conical stochastic maximal \(L^p\)-regularity for \(1\leqslant p<\infty\)
On the nonstationary Navier-Stokes systems
Moving Interfaces and Quasilinear Parabolic Evolution Equations
Maximal regularity with temporal weights for parabolic problems with inhomogeneous boundary conditions
Navier-stokes equations on unbounded domains with rough initial data
Nonlinear analytic semiflows
Sharp embedding results for spaces of smooth functions with power weights
Analysis of Viscous Fluid Flows: An Approach by Evolution Equations
ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
Weighted inequalities for singular integral operators on the half-line
Linear and Quasilinear Parabolic Problems
Complex interpolation with Dirichlet boundary conditions on the half line
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*
Analyticity of solutions to the primitive equations
Weighted Admissibility and Wellposedness of Linear Systems in Banach Spaces
Nonlinear elliptic problems with dynamical boundary conditions of reactive and reactive-diffusive type
Équations différentielles abstraites
Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations
Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
On the trace embedding and its applications to evolution equations

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