BV solutions to a degenerate parabolic equation for image denoising

作者：Kong Linghai^*; Huan Zhongdan; Guo Boling

来源：Acta Mathematica Scientia, 2007, 27(1): 169-179.

DOI：10.1016/S0252-9602(07)60015-0

• BVloc
• function
• BVx function
• strongly degenerate parabolic
• denoising

In this article, the authors consider equation u(t) = div(phi(Gamma u)A(\Du\(2))Du) - (u - I), where phi is strictly positive and Gamma is a known vector-valued mapping, A : R+ --> R+ is decreasing and A(s) similar to 1/root s as s --> +infinity. This kind of equation arises naturally from image denoising. For an initial datum I is an element of BVloc boolean AND L-infinity, the existence of BV solutions to the initial value problem of the equation is obtained.

• 出版日期2007-1
• 单位北京应用物理与计算数学研究所; 北京师范大学