SOLVABILITY IN HARDY SPACE FOR SECOND ORDER ELLIPTIC EQUATIONS

SOLVABILITY IN HARDY SPACE FOR SECOND ORDER ELLIPTIC EQUATIONS

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摘要 We obtain a priori estimates and solvability in Hardy type space in a bounded domain of Rn for second order elliptic equations with coefficients of limited smoothness. Such a result can be served as an endpoint case of the classical LP（1 〈 p 〈 ∞） theory for second order elliptic equations. Our approach is based on a standard technique of perturbation rather than that of integral representation formula. We obtain a priori estimates and solvability in Hardy type space in a bounded domain of Rn for second order elliptic equations with coefficients of limited smoothness. Such a result can be served as an endpoint case of the classical LP（1 〈 p 〈 ∞） theory for second order elliptic equations. Our approach is based on a standard technique of perturbation rather than that of integral representation formula.

作者 Yongzhong Sun Weiyi Su

机构地区 Nanjing University

出处《Analysis in Theory and Applications》 2009年第4期355-368,共14页 分析理论与应用（英文刊）

基金 Supported by NNSF of China Grant No.10571084 NNSF of China Grant No.10771097

关键词 Hardy space in a bounded domain second order elliptic equation a prioriestimate SOLVABILITY Hardy space in a bounded domain, second order elliptic equation, a prioriestimate, solvability

分类号 O174.2 [理学—基础数学] O175.25 [理学—基础数学]

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Analysis in Theory and Applications

2009年第4期

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SOLVABILITY IN HARDY SPACE FOR SECOND ORDER ELLIPTIC EQUATIONS

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