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Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line. (arXiv:1706.09647v1 [math.AP])
来源于:arXiv
We consider the accelerated propagation of solutions to equations with a
nonlocal linear dispersion on the real line and monostable nonlinearities (both
local or nonlocal), in the case when either of the dispersion kernel or the
initial condition has regularly heavy tails at both $\pm\infty$, perhaps
different. We show that, in such case, the propagation to the right direction
is fully determined by the right tails of either the kernel or the initial
condition. We describe both cases of integrable and monotone initial conditions
which may give different orders of the acceleration. Our approach is based, in
particular, on the extension of the theory of sub-exponential distributions,
which we introduced early in arXiv:1704.05829 [math.PR]. 查看全文>>