In this paper we study a class of nonlinear parabolic equations in which certain functionals of the solution are involved. A priori estimates for the solutions are derived by the use of integral estimates and the existence and uniqueness of the solutions are demonstrated via a retarding argument. © 1992.
Lin, Y., & Yin, H. M. (1992). Nonlinear parabolic equations with nonlinear functionals. Journal of Mathematical Analysis and Applications, 168(1), 28–41. https://doi.org/10.1016/0022-247X(92)90187-I