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Regularity of Poisson equation in some logarithmic space
Journal article

Regularity of Poisson equation in some logarithmic space

Huilian Jia, Dongsheng Li and Lihe Wang
Applied Mathematics-A Journal of Chinese Universities, Vol.22(1), pp.29-36
03/2007
DOI: 10.1007/s11766-007-0005-z

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Abstract

In this note, the regularity of Poisson equation − Δu = f with f lying in logarithmic function space L p(LogL)a (Ω) (1 < p < ∞, a ∈ R) is studied. The result of the note generalizes the W 2,p estimate of Poisson equation in L p(Ω).

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