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Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients

Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients

This paper is devoted to existence and non-existence results for generalized tran-sition waves solutions of space-time heterogeneous Fisher-KPP equations. When the coefficients of the equation are periodic in space but otherwise depend in a fairly gen-eral fashion on time, we prove that such waves exist as soon as their speed …