H-Distributions: An Extension of H-Measures to an Lp-Lq Setting

被引：24

作者：

Antonic, Nenad ^{[1
]}

Mitrovic, Darko ^{[2
]}

机构：

[1] Univ Zagreb, Fac Sci, Dept Math, Zagreb 10000, Croatia

[2] Univ Montenegro, Fac Math, Podgorica 81000, Montenegro

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

关键词：

OSCILLATIONS;

D O I：

10.1155/2011/901084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the continuity of Fourier multiplier operators on L-p to introduce the H-distributions-an extension of H-measures in the L-p framework. We apply the H-distributions to obtain an L-p version of the localisation principle and reprove the Murat L-p-L-p' variant of div-curl lemma.

引用

页数：12

共 25 条

[1] Aleksic J, 2009, COMMUN MATH SCI, V7, P963
[2] Hyperbolic conservation laws with vanishing nonlinear diffusion and linear dispersion in heterogeneous media
Aleksic, Jelena
Mitrovic, Darko
Pilipovic, Stevan
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2009, 9 (04) : 809 - 828
[3] H-measures applied to symmetric systems
Antonic, N
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1996, 126 : 1133 - 1155
[4] ANTONIC N, 2008, ANN U FERRARA, V54, P183
[5] H-measures and variants applied to parabolic equations
Antonic, Nenad
Lazar, Martin
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 343 (01) : 207 - 225
[6] Parabolic variant of H-measures in homogenisation of a model problem based on Navier-Stokes equation
Antonic, Nenad
Lazar, Martin
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (06) : 4500 - 4512
[7] Parabolic H-convergence and small-amplitude homogenization
Antonic, Nenad
Vrdoljak, Marko
[J]. APPLICABLE ANALYSIS, 2009, 88 (10-11) : 1493 - 1508
[8] Evans L.C., 1990, CBMS Regional Conference Series in Mathematics, V74
[9] MICROLOCAL DEFECT MEASURES
GERARD, P
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1991, 16 (11) : 1761 - 1794
[10] Grafakos L., 2008, Classical Fourier Analysis, V249

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