... parabolic equations with nonlocal boundary conditions,” Journal of Mathematical Analysis and Applications, vol. 294, no. 2, pp. 712–728, 2004.21 Y. F. Yin, “On nonlinear parabolic equations with ... Springer Tracts in Natural Philosophy,Springer, New York, NY, USA, 1985.12 A. Friedman, “Monotonic decay of solutions of parabolic equations with nonlocal boundaryconditions,” Quarterly of Applied ... Angewandte Mathematik und Physik, vol.47, no. 1, pp. 132–143, 1996.4 M. Escobedo and M. A. Herrero, A semilinear parabolic system in a bounded domain,” Annali diMatematica Pura ed Applicata, vol....