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Very weak solutions to elliptic equations with singular convection term
- Source :
- Journal of Mathematical Analysis and Applications. 457:1376-1387
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- 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.
- Subjects :
- Dirichlet problem
Convection
Fixed point theorem
Applied Mathematics
010102 general mathematics
Mathematical analysis
Analysi
01 natural sciences
Term (time)
010101 applied mathematics
Nonlinear system
symbols.namesake
Convection-diffusion equation
Singular solution
Dirichlet's principle
symbols
Uniqueness
0101 mathematics
Convection–diffusion equation
Analysis
Mathematics
Subjects
Details
- ISSN :
- 0022247X
- Volume :
- 457
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications
- Accession number :
- edsair.doi.dedup.....f8fdbf9c0756cac4e87e3364e2347ddb
- Full Text :
- https://doi.org/10.1016/j.jmaa.2017.03.025