CARLEMAN ESTIMATES AND UNIQUE CONTINUATION PROPERTY FOR 1-D VISCOUS CAMASSA-HOLM EQUATION
被引:4
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作者:
Gao, Peng
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机构:
Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
Gao, Peng
[1
,2
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机构:
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China
This paper is devoted to studying the 1-D viscous Camassa-Holm equation on a bounded interval. We first deduce the existence and uniqueness of strong solution to the viscous Camassa-Holm equation by using Galerkin method. Then we establish an identity for a second order parabolic operator, by applying this identity we obtain two global Carleman estimates for the linear viscous Camassa-Holm operator. Based on these estimates, we obtain two types of Unique Continuation Property for the viscous Camassa-Holm equation.
机构:
IMPA, Inst Matemat Pura & Aplicada, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, RJ, BrazilIMPA, Inst Matemat Pura & Aplicada, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, RJ, Brazil
Linares, Felipe
Ponce, Gustavo
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机构:
Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USAIMPA, Inst Matemat Pura & Aplicada, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, RJ, Brazil
机构:
Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Jiangsu 212013, Peoples R ChinaJiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Jiangsu 212013, Peoples R China
Tian, Lixin
Shen, Chunyu
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机构:
Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Jiangsu 212013, Peoples R ChinaJiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Jiangsu 212013, Peoples R China
Shen, Chunyu
Ding, Danping
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机构:
Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Jiangsu 212013, Peoples R ChinaJiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Jiangsu 212013, Peoples R China
机构:
Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R ChinaJiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China
Tian, Lixin
Xu, Ying
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机构:
Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R ChinaJiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China