Backward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz source. (13th April 2018)

• Record Type: Journal Article
• Authors: Nho Hào, Dinh; Van Duc, Nguyen; Van Thang, Nguyen
• Is Part Of: Inverse problems. Volume 34:Number 5(2018:May)
• Publication Date: 2018-04-13
• Subjects: backward semi-linear parabolic equations -- ill-posed problems -- stability estimate -- log-convexity method -- Tikhonov regularization; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aab8cb
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Let H be a Hilbert space with the inner product and the norm, a positive self-adjoint unbounded time-dependent operator on H and . We establish stability estimates of Hölder type and propose a regularization method with error estimates of Hölder type for the ill-posed backward semi-linear parabolic equation with the source function f satisfying a local Lipschitz condition.