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Laplace方程一类边界逆问题的正则化方法
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作者 祝志栋 熊培银 《重庆文理学院学报(自然科学版)》 2008年第4期8-11,共4页
考虑Laplace方程一类不适定的边界逆问题,通过引进磨光核函数ρδ(t)=1δπexp(-t2δ2)对其进行正则化,从而构造一个适定的问题来逼近原不适定问题,并得到了正则化解的条件稳定性及误差估计.
关键词 边界逆问题 正则化 磨光核函数 条件稳定性
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A NEW MODELLING METHOD FOR EVALUATING EXTERNAL DISTURBING POTENTIAL BASED ON THEORY OF UNIFIED REPRESENTATION OF GRAVITATIONAL FIELD
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作者 ZHU Zhuowen HUANG Jinshui CAO Huasheng LUO Zhicai 《Geo-Spatial Information Science》 2000年第2期41-46,共6页
For a special use a new modelling method of evaluating external disturbing potential is presented in this paper.Being different from classical methods in physical geodesy this method is grounded upon the theory of uni... For a special use a new modelling method of evaluating external disturbing potential is presented in this paper.Being different from classical methods in physical geodesy this method is grounded upon the theory of unified representation of gravitational field.The models created in this way are particularly satisfactory for a high_speed computation of gravitational field in low altitude because they take account of topographic effects and have their kernel functions with simple structure and weak singularity. 展开更多
关键词 theory of unified representation of gravitational field evaluation of disturbing gravitational field topographic effect gravimetric inverse boundary value problem singlelayer potential
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Stability of Inverse Problems for Ultrahyperbolic Equations
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作者 Fikret G?LGELEYEN Masahiro YAMAMOTO 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2014年第4期527-556,共30页
In this paper, the authors consider inverse problems of determining a coemcient or a source term in an ultrahyperbolic equation by some lateral boundary data. The authors prove HSlder estimates which are global and lo... In this paper, the authors consider inverse problems of determining a coemcient or a source term in an ultrahyperbolic equation by some lateral boundary data. The authors prove HSlder estimates which are global and local and the key tool is Carleman estimate. 展开更多
关键词 Ultrahyperbolic equation Inverse problem STABILITY Carleman estimate
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