Existence of solutions for a parabolic equation in bounded domain
Abdeljabbar Ghanmi, Tarek Kenzizi · Applicable Analysis · 2016
In this paper, we study the existence of nonnegative solutions for the parabolic problemwhere D is a smooth domain of , (), the function is such that and is the normalized positive eigenfunction corresponding to the first eigenvalue of and V belongs to a class of time-dependant potentials which can be written as a nonlinear combination of derivatives of a function.