Well-Posedness and Analyticity of Solutions to the Parabolic-Elliptic System of Drift-Diffusion Type in Fourier-Besov Spaces with Variable Exponents
DOI:
https://doi.org/10.5890/DNC.2024.12.006Abstract
In this paper we study the Cauchy problem of the Debye-Hückel system with initial data in variable Fourier-Besov spaces. By using littlewood-Paley decomposition, we obtain the global well-posedness result for small initial data belong to critical variable exponent Fourier-Besov spaces. Moreover, we get the analyticity of global solutions.References
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