一类一般反应-弥散方程的跃迁锋和拉伸现象
Transition fronts and stretching phenomena for a general class of reaction-dispersion equations
摘要：
考虑一类具有非局部扩散和局部反应的反应-扩散方程。在一般条件下，我们证明了Cauchy问题解的过渡前沿的不存在性，以及在大时间上的拉伸性质。这些条件特别是当反应是单稳态的和当扩散算子是分数拉普拉斯算子、具有肥尾核的卷积算子或非线性快速扩散算子时得到满足。
英文摘要：
We consider a general form of reaction-dispersion equations with non-local dispersal and local reaction. Under some general conditions, we prove the non-existence of transition fronts, as well as some stretching properties at large time for the solutions of the Cauchy problem. These conditions are satisfied in particular when the reaction is monostable and when the dispersal operator is either the fractional Laplacian, a convolution operator with a fat-tailed kernel or a nonlinear fast diffusion operator.
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