Endpoint bilinear estimates and applications to the two-dimensional Poisson–Nernst–Planck system

DOI10.1088/0951-7715/26/11/2993zbMath1278.35036OpenAlexW1985730408MaRDI QIDQ2864563

Congming Li, Chao Deng

Publication date: 25 November 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/26/11/2993

zbMATH Keywords

Besov spaceswell-posedness and ill-posedness

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45) Semilinear parabolic equations (35K58) Harmonic analysis and PDEs (42B37)

Related Items (8)

The time decay rates of the classical solution to the Poisson-Nernst-Planck-Fourier equations in \(\mathbb{R}^3\) ⋮ Largest well-posed spaces for the general diffusion system with nonlocal interactions ⋮ Well-posedness and Gevrey analyticity of the generalized Keller-Segel system in critical Besov spaces ⋮ Global existence of the non-isothermal Poisson-Nernst-Planck-Fourier system ⋮ Global existence and temporal decay of large solutions for the Poisson–Nernst–Planck equations in low regularity spaces ⋮ Unnamed Item ⋮ Global existence of large solutions for the generalized Poisson-Nernst-Planck equations ⋮ Gevrey regularity of mild solutions to the parabolic-elliptic system of drift-diffusion type in critical Besov spaces

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