Existence, Uniqueness, and Stability of Generalized Traveling Waves in Time Dependent Monostable Equations

95 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients (2015, background): “When the coefficients only depend on t in a general way, the existence of transition waves was first proved by Shen for bistable nonlinearities [25] (that is, nonlinearities vanishing at u = 0 and u = 1 but negative near these two equilibria) and for monostable equations with time uniquely ergodic c”
Critical travelling waves for general heterogeneous one-dimensional reaction–diffusion equations (2015, unknown): “The existence of spatial transition waves for monostable time-dependent equations have been proved when the coefﬁcients are assumed to be uniquely ergodic by Shen [27] and in the general framework by Rossi and the author [22].”
Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations (2012, background): “dels the evolutionary take-over of a habitat by a ﬁtter genotype. See, for example, [1], [3], [4], [5], [16], [18], [23], [27], [28], [33], [37], [38], [39], [40], [42], [43], [44], [47], [48], [49], [51], [52], [56], [57], [58], and references therein, for the study of the spatial spread and front ”