Travelling Fronts and Entire Solutions¶of the Fisher-KPP Equation in ℝN

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Existence and qualitative properties of multidimensional conical bistable fronts (2005, background): “An instance is given by all the solutions that are larger than µ; they satisfy a KPP equation, for which the global attractor is bigger than the space of all probability measures in R N (see [ 19 ]).”
Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary (2010, unknown): “These results have been extended to higher dimensions in [2], and extensive further development on traveling wave solutions and the spreading speed has been achieved in several directions; we refer to [30, 13, 28, 3, 4, 17, 29] and the references therein for more details.”
Periodic traveling curved fronts in reaction–diffusion equation with bistable time-periodic nonlinearity (2011, background): “Recently, the mathematical study on the nonplanar traveling wave solution is attracting a lot of attention, see [2,6–11,16,26,27] for more existence and stability results of nonplanar traveling wave solutions of the autonomous reaction–diffusion equation.”