Dirichlet problems with skew-symmetric drift terms

被引：0
|
作者：
Boccardo, Lucio [1 ,2 ]
Casado-Diaz, Juan [3 ]
Orsina, Luigi [4 ]
机构：
[1] Ist Lombardo, Rome, Italy
[2] Sapienza Univ Roma, Rome, Italy
[3] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Seville, Spain
[4] Sapienza Univ Roma, Dipartimento Matemat, Rome, Italy
来源：
COMPTES RENDUS MATHEMATIQUE | 2024年 / 362卷
关键词：
Singular drift; Dirichlet problems; nonlinear test functions; EQUATIONS;
D O I：
10.5802/crmath.564
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove existence of finite energy solutions for a linear Dirichlet problem with a drift and a convection term of the form AE(x)del u+div(uE(x)), with A>0 and E in (L-r(Omega))(N). The result is obtained using a nonlinear function of u as test function, in order to "cancel" this term.
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页数：7
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