page loader
  1. Home
  2. Bài báo khoa học
  3. Chi tiết bài báo
Stability results for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz source
Authors: Dinh Nho Hao, Nguyen Van Duc, Nguyen Thi Ngoc Oanh
279    0
Journal of Inverse and Ill-posed Problems
: 29/4     : 499-513
: https://www.degruyter.com/document/doi/10.1515/jiip-2020-0125/html?lang=de
Publishing year: 7/2021
Stability estimates of Hölder type for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz source are obtained. It is noticed that stability results for weak solutions to nonlinear inverse problems are very rare in the literature.
Backward semi-linear parabolic equations, locally Lipschitz source, ill-posed problems, stability estimate, weak solution
A non-local boundary value problem method for semi-linear parabolic equations backward in time.Stability estimates for Burgers-type equations backward in timeA mollification method for semi-linear heat equations backward in time in the Banach space Lp(R)Analysis IStability Results for Semi-linear Parabolic Equations Backward in TimeAn a posteriori mollifcation method for the heat equation backward in timeBackward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz sourceA REGULARIZATION METHOD FOR BACKWARD PARABOLIC EQUATIONS WITH TIME-DEPENDENT COEFFICIENTSStability results for backward time-fractional parabolic equationsA Mollification Method for Backward Time-Fractional Heat EquationIdentifying an unknown source term in a time-space fractional parabolic equationRegularization of backward time-fractional parabolic equations by Sobolev-type equationsIdentifying an unknown source term in a heat equation with time-dependent coefficientsStability results for backward heat equations with time-dependent coefficient in the Banach space Lp(R )Identifying an unknown source term of a parabolic equation in Banach spacesFractal GeometryTextbook of Measures and IntegralThe quasi-reversibility method for an inverse source problem for time-space fractional parabolic equationsA coefficient identification problem for a system of advection-reaction equations in water quality modelingA regularization method for Caputo fractional derivatives in the Banach space L∞[0, T]Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations