A REGULARIZATION METHOD FOR BACKWARD PARABOLIC EQUATIONS WITH TIME-DEPENDENT COEFFICIENTS

• Tác giả: Van Duc Nguyen, Hoai Bao Tran
• Ngôn ngữ: Vie
• Thông tin xuất bản: Tạp chí Khoa học - Trường Đại học Vinh 2019
• Bộ sưu tập: Metadata
• ID: 402486

Tóm tắt

 Let H be a Hilbert space with the norm k · k and At(0 6 t 6 Tbe positive self-adjoint unbounded operators from DAtH to H. In thepaper, we propose a regularization method for the ill-posed backward parabolicequation with time-dependent coefficientsu ku t TA tfuk= 0 6 "
  f
  0 2 H
  " >
 0A priori and a posteriori parameter choice rules are suggested which yield errorsestimates of H¨older type. Our errors estimates improve the related results in [4]