Strong periodic solutions to quasilinear parabolic equations: An approach by the Da Prato–Grisvard theorem
From MaRDI portal
Publication:6096842
DOI10.1112/blms.12831zbMath1526.35020OpenAlexW4363679611WikidataQ121638063 ScholiaQ121638063MaRDI QIDQ6096842
Publication date: 15 September 2023
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/blms.12831
Abstract parabolic equations (35K90) Periodic solutions to PDEs (35B10) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A general approach to time periodic incompressible viscous fluid flow problems
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights
- The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
- On interpolation with boundary conditions
- A note on the existence of periodic solutions of the Navier-Stokes equations
- Initiation of slime mold aggregation viewed as an instability
- A user's guide to PDE models for chemotaxis
- Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces
- Sommes d'opérateurs linéaires et équations différentielles opérationnelles
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- New thoughts on old results of R. T. Seeley
- Critical spaces for quasilinear parabolic evolution equations and applications
- Global existence of solutions to an \(n\)-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth and superlinear production
- On the Nernst-Planck-Navier-Stokes system
- Periodic solutions of the Navier-Stokes equations in unbounded domains
- On time periodic solutions of Dirichlet problem for degenerate parabolic equations of nondivergence type
- Strong time periodic solutions to Keller-Segel systems: an approach by the quasilinear Arendt-Bu theorem
- The periodic version of the Da Prato-Grisvard theorem and applications to the bidomain equations with FitzHugh-Nagumo transport
- New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models
- Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
- The functional calculus for sectorial operators
- On time-periodic flow of a viscous liquid past a moving cylinder
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- <i>L</i><sub><i>p</i></sub>-Estimates of Solutions to <i>n</i>-Dimensional Parabolic-Parabolic System for Chemotaxis with Subquadratic Degradation
- Vector-valued Laplace Transforms and Cauchy Problems
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- $H^∞$ functional calculus in real interpolation spaces
- Tools for maximal regularity
- Existence of Periodic Solutions for Equations of Evolving Curves
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Global Well-Posedness and Stability of Electrokinetic Flows
- Analytic semigroups and optimal regularity in parabolic problems
