Spatial analyticity of solutions to Keller-Segel equation of parabolic-elliptic type

DOI10.1007/s00025-017-0741-1zbMath1383.35170OpenAlexW2751799038MaRDI QIDQ681223

Yang Minghua, Jinyi Sun

Publication date: 30 January 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-017-0741-1

zbMATH Keywords

modulation spacesGevrey regularityFourier-Besov spacesKeller-Segel equation of parabolic-elliptic type

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Liquid crystals (76A15) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

• Unnamed Item
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• Gevrey regularity for a class of dissipative equations with analytic nonlinearity
• Gevrey regularity for a class of dissipative equations with applications to decay
• On Gevrey regularity of the supercritical SQG equation in critical Besov spaces
• Spatial analyticity of solutions to the drift-diffusion equation with generalized dissipation
• Analyticity of solutions for a generalized Euler equation
• Asymptotic estimates for unimodular Fourier multipliers on modulation spaces
• Isometric decomposition operators, function spaces \(E_{p,q}^{\lambda}\) and applications to nonlinear evolution equations
• Model for chemotaxis
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Some new Strichartz estimates for the Schrödinger equation
• Navier-Stokes equations and nonlinear heat equations in modulation spaces with negative derivative indices
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Foundations of time-frequency analysis
• On the analyticity for the generalized quadratic derivative complex Ginzburg-Landau equation
• Level sets of the vorticity and the stream function for the 2D periodic Navier-Stokes equations with potential forces
• Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
• Gevrey regularity for the supercritical quasi-geostrophic equation
• Existence and analyticity of solutions to the drift-diffusion equation with critical dissipation
• Analyticity and decay estimates of the Navier-Stokes equations in critical Besov spaces
• The dilation property of modulation spaces and their inclusion relation with Besov spaces
• Well-posedness of the Cauchy problem for the fractional power dissipative equations
• Critical space for the parabolic-parabolic Keller--Segel model in \(\mathbb R^{d}\)
• On the spatial analyticity of solutions of the Navier-Stokes equations
• Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations
• Weakly Differentiable Functions
• The geometric structure of the super-level sets and regularity for 3D Navier-Stokes equations
• On the dissipative scale for the Navier-Stokes equation
• Global mild solutions of Navier‐Stokes equations
• Existence and analyticity of Lei-Lin solution to the Navier-Stokes equations
• Gevrey regularity of solutions to the 3-D Navier-Stokes equations with weighted $l_p$ initial data

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