scholarly journals Scalar elliptic equations with a singular drift

2020 ◽  
pp. 1-25
Author(s):  
Misha Chernobai ◽  
Timofey Shilkin
Keyword(s):  
Elliptic Equations ◽  
Singular Drift

Stampacchia–Caldéron–Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift

2019 ◽  
Vol 25 ◽  
pp. 47 ◽  
Author(s):  
Lucio Boccardo
Keyword(s):  
Boundary Value Problem ◽  
Elliptic Equations ◽  
Principal Part ◽  
Boundary Value ◽  
Discontinuous Coefficients ◽  
Singular Drift ◽  
The Matrix

In this paper, the existence and properties of solutions of the boundary value problem (1.4) are studied. No regularity assumptions on the coefficients of the matrixM(x) are used (in particular we do not require that the principal part is −Δ), no assumptions on the size of ||E||LNare needed.

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