Unique continuation inequalities for the parabolic-elliptic chemotaxis system
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Publication:2078897
DOI10.1016/j.jde.2022.02.018zbMath1484.35102arXiv2104.01748OpenAlexW3142404771MaRDI QIDQ2078897
Publication date: 4 March 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.01748
localization techniquefrequency function methodparabolic-elliptic coupled systemunique continuation inequalities
Continuation and prolongation of solutions to PDEs (35B60) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
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- Observability inequalities and measurable sets
- A controllability result for a chemotaxis-fluid model
- Bang-bang property for time optimal control of semilinear heat equation
- Initiation of slime mold aggregation viewed as an instability
- Quantitative unique continuation for the semilinear heat equation in a convex domain
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Unique continuation for parabolic operators
- An observability estimate for parabolic equations from a measurable set in time and its applications
- Quantitative uniqueness for second-order elliptic operators
- Local null controllability for a chemotaxis system of parabolic-elliptic type
- A unique continuation theorem of a diffusion equation
- Singularity patterns in a chemotaxis model
- $R_0$ Analysis of a Benthic-Drift Model for a Stream Population
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- A uniqueness theorem for parabolic equations
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Unique Continuation for the Korteweg–de Vries Equation
- GENERALIZED ANALYTICITY AND SOME RELATED PROPERTIES OF SOLUTIONS OF ELLIPTIC AND PARABOLIC EQUATIONS
- On unique continuation for nonlinear Schrödinger equations
- Qnique Continuation for
- Unique Continuation Properties and Quantitative Estimates of Unique Continuation for Parabolic Equations
- Doubling properties of caloric functions
- Carleman Estimates and Unique Continuation for Second Order Parabolic Equations with Nonsmooth Coefficients
- Quantitative unique continuation, logarithmic convexity of Gaussian means and Hardy's uncertainty principle
