On off-diagonal decay properties of the generalized Stokes semigroup with bounded measurable coefficients

被引：0
|
作者：
Tolksdorf, Patrick [1 ]
机构：
[1] Johannes Gutenberg Univ Mainz, Inst Math, Staudingerweg 9, D-55099 Mainz, Germany
来源：
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2021年 / 7卷 / 02期
关键词：
Generalized Stokes semigroup; Stokes operator with bounded measurable coefficients; Off-diagonal estimates; ELLIPTIC-OPERATORS; WELL-POSEDNESS;
D O I：
10.1007/s41808-021-00116-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate off-diagonal decay properties of the generalized Stokes semigroup with bounded measurable coefficients on L-sigma(2)(R-d). Such estimates are well-known for elliptic equations in the form of pointwise heat kernel bounds and for elliptic systems in the form of integrated off-diagonal estimates. On our way to unveil this off-diagonal behavior we prove resolvent estimates in Morrey spaces L-2,L-nu(R-d) with 0 <= nu < 2.
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页码：323 / 340
页数：18
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