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BV SOLUTIONS TO A DEGENERATE PARABOLIC EQUATION FOR IMAGE DENOISING

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【Author】 Kong Linghai Institute of Applied Physics and Computational Mathematics, P.O.Box 8009-13, Beijmg 100088, China Huan Zhongdan School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China Guo Boling Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, P.O.Box 8009, Beijing 100088, China

【机构】 Institute of Applied Physics and Computational Mathematics P.O.Box 8009-13； School of Mathematical Sciences Beijing Normal University； Center for Nonlinear Studies Institute of Applied Physics and Computational Mathematics P.O.Box 8009； Beijing 100088； China； Beijing 100875；

【摘要】 <正>In this article, the authors consider equation ut=div（（?）（Γu）A（|Du|2）Du）-（u-I）, where （?） is strictly positive andΓis a known vector-valued mapping, A:R+→R+ is decreasing and A（s）～1/s^1/s as s→+∞. This kind of equation arises naturally from image denoising. For an initial datum I∈BVloc∩L∞, the existence of BV solutions to the initial value problem of the equation is obtained.更多还原

【Abstract】 In this article, the authors consider equation ut=div（（?）（Γu）A（|Du|2）Du）-（u-I）, where （?） is strictly positive andΓis a known vector-valued mapping, A:R+→R+ is decreasing and A（s）～1/s^1/s as s→+∞. This kind of equation arises naturally from image denoising. For an initial datum I∈BVloc∩L∞, the existence of BV solutions to the initial value problem of the equation is obtained.更多还原

【关键词】 BVloc function； BVx function； strongly degenerate parabolic； denoising；
【Key words】 BVloc function； BVx function； strongly degenerate parabolic； denoising；

【基金】 This research is partially supported by NSAF of China (10576013);by NSFC of China (10531040)

【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2007年01期

【分类号】O175.2
【被引频次】2
【下载频次】49

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