BV SOLUTIONS TO A DEGENERATE PARABOLIC EQUATION FOR IMAGE DENOISING
In this article, the authors consider equation ut = div（φ（Γu）A（｜Du｜^2）Du） - （u- I）, where φ is strictly positive and F is a known vector-valued mapping, A ： R＋ → R^＋ is decreasing and A（s） -1/ √s as s → ＋∞. This kind of equation arises naturally from image denoising. For an initial datum I ∈ BVloc...
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| Veröffentlicht in: | Acta Mathematica Scientia 2007, Vol.27 (1), p.169-179 |
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| container_title | Acta Mathematica Scientia |
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| creator | 孔令海 郇中丹 郭柏灵 |
| description | In this article, the authors consider equation ut = div（φ（Γu）A（｜Du｜^2）Du） - （u- I）, where φ is strictly positive and F is a known vector-valued mapping, A ： R＋ → R^＋ is decreasing and A（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. |
| doi_str_mv | 10.1016/S0252-9602(07)60015-0 |
| format | Article |
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All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c275t-5987ee3ca2de7751e36463b937dbed2ca4a42bf61c5acc749078a369c9cd8e043</citedby><cites>FETCH-LOGICAL-c275t-5987ee3ca2de7751e36463b937dbed2ca4a42bf61c5acc749078a369c9cd8e043</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/86464X/86464X.jpg</thumbnail><link.rule.ids>314,780,784,4024,27923,27924,27925</link.rule.ids></links><search><creatorcontrib>孔令海 郇中丹 郭柏灵</creatorcontrib><title>BV SOLUTIONS TO A DEGENERATE PARABOLIC EQUATION FOR IMAGE DENOISING</title><title>Acta Mathematica Scientia</title><addtitle>Acta Mathematica Scientia</addtitle><description>In this article, the authors consider equation ut = div（φ（Γu）A（｜Du｜^2）Du） - （u- I）, where φ is strictly positive and F is a known vector-valued mapping, A ： R＋ → R^＋ is decreasing and A（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.</description><subject>BV解</subject><subject>初值问题</subject><subject>图象降噪</subject><subject>退化抛物型方程</subject><issn>0252-9602</issn><issn>1572-9087</issn><issn>1003-3998</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNo90F1PwjAUgOHGaCJ-_ASTxQujF9PTdm23y4kDl-CmDLxtutIpOjdcIeC_t4DxqknznNPmRegCwy0GzO8KIIz4EQdyDeKGA2DmwwHqYSbcNYTiEPX-yTE6sfbDGU540EP9-1evyEfTSZpnhTfJvdh7SIZJlozjSeI9x-P4Ph-lfS95mcZb4w3ysZc-xcPEuSxPizQbnqGjStXWnP-dp2g6SCb9R3-UD9N-PPI1EWzpsygUxlCtyMwIwbChPOC0jKiYlWZGtApUQMqKY82U1iKIQISK8khHehYaCOgputnvXaumUs2b_GhXXeNelHazrjelNARAgGvCnL3a20XXfq-MXcqvudWmrlVj2pWVlJAAwhA7yPZQd621nankopt_qe5HYpDbvHKXV27bSRByl1eCm7v8m3tvm7fvuftOqfRnNa-NJDQKKHBMfwEhJXGs</recordid><startdate>2007</startdate><enddate>2007</enddate><creator>孔令海 郇中丹 郭柏灵</creator><general>Institute of Applied Physics and Computational Mathematics, P.O. 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| language | eng |
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| source | Access via ScienceDirect (Elsevier); Alma/SFX Local Collection |
| subjects | BV解 初值问题 图象降噪 退化抛物型方程 |
| title | BV SOLUTIONS TO A DEGENERATE PARABOLIC EQUATION FOR IMAGE DENOISING |
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