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1.ÌâÄ¿£ºL^p resolvent estimates for constant coefficient elliptic systems on Lipschitz domains
   ÆÚ¿¯£ºJournal of Functional Analysis
   ×÷ÕߣºWei Wei£¬Zhenqiu Zhang
   DOI£º10.1016/j.jfa.2014.08.010

2.ÌâÄ¿£ºModulation space estimates for Schrödinger type equations with time-dependent potentials
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   ×÷Õߣº Wei Wei
   DOI£º10.1007/s10587-014-0118-5

3.ÌâÄ¿£ºL^p resolvent estimates for variable coefficient elliptic systems on Lipschitz domains
   ÆÚ¿¯£º Analysis and Applications
   ×÷ÕߣºWei Wei£¬Zhenqiu Zhang
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L-p resolvent estimates for constant coefficient elliptic systems on Lipschitz domains
×÷Õß:Wei, W (Wei, Wei); Zhang, ZQ (Zhang, Zhenqiu)[ 1 ]
JOURNAL OF FUNCTIONAL ANALYSIS
¾í: 267  ÆÚ: 9  Ò³: 3262-3293
DOI: 10.1016/j.jfa.2014.08.010
³ö°æÄê: NOV 1 2014
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In this paper, we establish the L-P resolvent estimates on a Lipschitz domain Omega in R-d for constant coefficient elliptic systems with homogeneous Neumann boundary conditions, where 1 < p < infinity for d = 3, and 2d/(d + 3) - epsilon < p < 2d/(d - 3) + epsilon for d >= 4 with some positive constant epsilon = epsilon(Omega). We also give the global L-P estimates for the derivatives of solutions to the previous systems, where 2 <= p < 2d/(d - 1)+epsilon for d >= 3. Finally we extend our main results to the case of some variable coefficient elliptic systems on a bounded Lipschitz domain. (C) 2014 Elsevier Inc. All rights reserved.
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×÷Õ߹ؼü´Ê:Resolvent estimates; Elliptic system; Lipschitz domain; Neumann problems
KeyWords Plus:BOUNDARY-VALUE-PROBLEMS; LAYER POTENTIALS; NEUMANN PROBLEM; SPACES; EQUATION
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ͨѶ×÷ÕßµØÖ·: Zhang, ZQ (ͨѶ×÷Õß)
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China.
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ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 1 ] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 2 ] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
µç×ÓÓʼþµØÖ·:ww5998198@126.com; zqzhang@nankai.edu.cn
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National Natural Science Foundation of China (NNSF)        
11271091
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ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
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Ñо¿·½Ïò:Mathematics
Web of Science Àà±ð:Mathematics
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ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000343019800005
ISSN: 0022-1236
µç×Ó ISSN: 1096-0783
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