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.

引用

页码：323 / 340

页数：18

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