QUASI-REVERSIBILITY

作品数：3被引量：1H指数：1
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相关领域：理学更多>>
相关期刊：《Acta Mathematica Scientia》《American Journal of Computational Mathematics》《Acta Mathematica Sinica,English Series》更多>>
相关基金：国家自然科学基金更多>>
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The Quasi-reversibility Method to Solve the Cauchy Problems for Parabolic Equations
《Acta Mathematica Sinica,English Series》2013年第8期1617-1628,共12页Jing LI Bo Ling GUO 
supported by National Natural Science Foundation of China (Grant No.11226166);Scientific Research Fund of Hu'nan Provincial Education Department (Grant No.11C0052)
In this paper, on the one hand, we take the conventional quasi-reversibility method to obtain the error estimates of approximate solutions of the Cauchy problems for parabolic equations in a sub-domain of QT with stro...
关键词：Ⅲ-posed problems parabolic equations Cauchy problems QUASI-REVERSIBILITY 
Quasi-Reversibility Regularization Method for Solving a Backward Heat Conduction Problem被引量：1
《American Journal of Computational Mathematics》2011年第3期159-162,共4页Ailin Qian Jianfeng Mao 
Non-standard backward heat conduction problem is ill-posed in the sense that the solution(if it exists) does not depend continuously on the data. In this paper, we propose a regularization strategy-quasi-reversibility...
关键词：BACK Heat Conduction ILL-POSED PROBLEM QUASI-REVERSIBILITY REGULARIZATION 
WEAK REGULARIZATION FOR A CLASS OF ILL-POSED CAUCHY PROBLEMS
《Acta Mathematica Scientia》2006年第3期483-490,共8页黄永忠 郑权 
This project was supported by TRAPOYT, the Key Project of Chinese Ministry of Education(104126) the NNSF of China(10371046)
This article is concerned with the ill-posed Cauchy problem associated with a densely defined linear operator A in a Banach space. A family of weak regularizing operators is introduced. If the spectrum of A is contain...
关键词：Ill-posed Cauchy problem QUASI-REVERSIBILITY family of weakly regularizing operators fractional power regularized semigroup 
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