Maximal regularity for elliptic operators with second-order discontinuous coefficients

被引:6
|
作者
Metafune, G. [1 ]
Negro, L. [1 ]
Spina, C. [1 ]
机构
[1] Univ Salento, Dipartimento Matemat Ennio De Giorgi, CP 193, I-73100 Lecce, Italy
关键词
Elliptic operators; Discontinuous coefficients; Kernel estimates; Maximal regularity; INEQUALITIES;
D O I
10.1007/s00028-020-00637-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove maximal regularity for parabolic problems associated to the second-order elliptic operator L = Delta + (a - 1) Sigma(N)(i, j=1) x(i)x(j)/vertical bar x vertical bar(2) D-ij + c x/vertical bar x vertical bar(2). del - b vertical bar x vertical bar(-2) with a > 0 and b, c real coefficients.
引用
收藏
页码:3613 / 3637
页数:25
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