Ill-posedness issue for the drift diffusion system in the homogeneous Besov spaces

zbMath1366.35059MaRDI QIDQ342966

Takayoshi Ogawa, Tsukasa Iwabuchi

Publication date: 18 November 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1475601824

zbMATH Keywords

well-posednessill-posednessdrift diffusion systemhomogeneous Besov spaces

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Heat kernel (35K08)

Related Items (7)

Ill-posedness for the compressible Navier-Stokes equations under barotropic condition in limiting Besov spaces ⋮ Well-posedness and Gevrey analyticity of the generalized Keller-Segel system in critical Besov spaces ⋮ Ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces ⋮ Global existence and temporal decay of large solutions for the Poisson–Nernst–Planck equations in low regularity spaces ⋮ Global existence of large solutions for the generalized Poisson-Nernst-Planck equations ⋮ Well-posedness and unconditional uniqueness of mild solutions to the Keller-Segel system in uniformly local spaces ⋮ Well-posedness of mild solutions to the drift-diffusion and the vorticity equations in amalgam spaces

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