Singular Integral Operators, Morrey Spaces and Fine Regularity of Solutions to PDE's

被引:0
|
作者
Dian K. Palagachev
Lubomira G. Softova
机构
[1] Politecnico di Bari,Dipartimento di Matematica
[2] Bulgarian Academy of Sciences,Institute of Mathematics and Informatics
来源
Potential Analysis | 2004年 / 20卷
关键词
a'priori estimates; PDE's with discontinuous coefficients; singular integral operators; fine regularity;
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摘要
Boundedness in Morrey spaces is studied for singular integral operators with kernels of mixed homogeneity and their commutators with multiplication by a BMO-function. The results are applied in obtaining fine (Morrey and Hölder) regularity of strong solutions to higher-order elliptic and parabolic equations with VMO coefficients.
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页码:237 / 263
页数:26
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