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A Global Carleman Inequality and Exact Controllability of Parabolic Equations with Mixed Boundary Conditions 被引量:1
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作者 Tujin Kim Qian-shun Chang Jing Xu 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2008年第2期265-280,共16页
This paper establishes a global Carleman inequality of parabolic equations with mixed boundary conditions and an estimate of the solution. Further, we prove exact controllability of the equation by controls acting on ... This paper establishes a global Carleman inequality of parabolic equations with mixed boundary conditions and an estimate of the solution. Further, we prove exact controllability of the equation by controls acting on an arbitrarily given subdomain or subboundary. 展开更多
关键词 Parabolic equation CONTROLLABILITY mixed boundary condition carleman inequality
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On Several New Hilbert-type Inequalities Involving Means Operators
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作者 Vandanjav ADIYASUREN Tserendorj BATBOLD Mario KRNI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第8期1493-1514,共22页
In this paper, we establish several new Hilbert-type inequalities with a homogeneous kernel, involving arithmetic, geometric, and harmonic mean operators in both integral and discrete case. Such inequalities are deriv... In this paper, we establish several new Hilbert-type inequalities with a homogeneous kernel, involving arithmetic, geometric, and harmonic mean operators in both integral and discrete case. Such inequalities are derived by virtue of some recent results regarding general Hilbert-type inequalities and some well-known classical inequalities. We also prove that the constant factors appearing in established inequalities are the best possible. As an application, we consider some particular settings and compare our results with previously known from the literature. 展开更多
关键词 Hilbert inequality Hilbert-type inequality Hardy inequality carleman inequality Knopp inequality
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IDENTIFICATION OF PARAMETERS IN PARABOLIC EQUATIONS WITH NONLINEARITY
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作者 Youjun Xu, Maoxin Liao (School of Math. and Physics, University of South China, Hengyang 421001, Hunan) Zhenhai Liu (School of Mathematical Sciences and Computing Technology, Central South University, Changsha 410075) 《Annals of Differential Equations》 2010年第1期94-99,共6页
In this paper, we consider the identification of parameters in parabolic equations with nonlinearity. Some approximation processes for the identification problem are given. Our results improve and generalize the previ... In this paper, we consider the identification of parameters in parabolic equations with nonlinearity. Some approximation processes for the identification problem are given. Our results improve and generalize the previous results. 展开更多
关键词 IDENTIFICATION carleman inequality parabolic equations
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