A simple regularization method for the ill-posed evolution equation

作者：Nguyen Huy Tuan^*; Dang Duc Trong

来源：Czechoslovak Mathematical Journal, 2011, 61(1): 85-95.

DOI：10.1007/s10587-011-0019-9

• nonlinear parabolic problem
• backward problem
• semigroup of operators
• ill-posed problem
• contraction principle

The nonhomogeneous backward Cauchy problem u(t) + Au(t) = f(t), u(T) = phi, where A is a positive self-adjoint unbounded operator which has continuous spectrum and f is a given function being given is regularized by the well-posed problem. New error estimates of the regularized solution are obtained. This work extends earlier results by N. Boussetila and by M. Denche and S. Djezzar.

• 出版日期2011-3