%0 Journal Article %A Bondarenko, Victor G. %D 2012 %I Begell House %K parabolic equation, n-dimensional space, nonlocal nonlinear potential, generalization of the Kolmogorov–Petrovskiy–Piskunov equation, Cauchy problem solution, uniqueness, estimates. %N 12 %P 23-27 %R 10.1615/JAutomatInfScien.v44.i12.30 %T On Solving the Cauchy Problem for Parabolic Equation with Nonlocal Potential %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,79ac53bd7750e0b8,5783077716fbbb93.html %V 44 %X We consider parabolic equation in n-dimensional space with nonlocal nonlinear potential of convolution type, which generalizes the Kolmogorov−Petrovskiy−Piskunov equation. Uniqueness of the Cauchy problem solution was proved and estimates for this solution were obtained. %8 2012-12-25