Abstract Based on the denoising problem in image processing，the well-posedness of the initial-boundary value problem for a nonlinear parabolic equation with time-delay and a nonlocal term was studied.By using energy estimates and the fixed point theorem，the existence，uniqueness and stability of the weak solution to this initial-boundary problem were investigated．This study is helpful for the numerical simulation in image processing．
Received: 26 December 2011
Published: 28 September 2012
