Very weak solutions to elliptic equations with singular convection term

We study Dirichlet problem for a nonlinear equation with a drift term. Despite the presence of the singular convection term, we establish existence and uniqueness of a solution in spaces larger than the natural one.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2018-01, Vol.457 (2), p.1376-1387
Main Authors: Greco, Luigi, Moscariello, Gioconda, Zecca, Gabriella
Format: Article
Language:English
Subjects:
Convection–diffusion equation
Dirichlet problem
Fixed point theorem
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Description
Summary:We study Dirichlet problem for a nonlinear equation with a drift term. Despite the presence of the singular convection term, we establish existence and uniqueness of a solution in spaces larger than the natural one.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2017.03.025