Huang, Haiyang; Zhang, Haili; Huan, Zhongdan An image denoising-deblurring adaptive variational problem in BV spaces. (English) Zbl 1212.35493 J. Partial Differ. Equations 22, No. 4, 315-333 (2009). Summary: In this paper, we establish the existence and uniqueness of a BV solution to an initial boundary value problem for a nonlinear integro-differential equation, which is related to a denoising and deblurring variational model in image restoration. Several experiments relevant to the restoration model are performed and numerical results are discussed. MSC: 35R09 Integro-partial differential equations 35D30 Weak solutions to PDEs 35K59 Quasilinear parabolic equations 45K05 Integro-partial differential equations 49Q20 Variational problems in a geometric measure-theoretic setting Keywords:existence; uniqueness; BV solution; nonlinear integro-differential equation; image restoration PDFBibTeX XMLCite \textit{H. Huang} et al., J. Partial Differ. Equations 22, No. 4, 315--333 (2009; Zbl 1212.35493) Full Text: DOI