| Abstract: |
| We consider a reaction-diffusion equation with nonlocal anisotropic diffusion and a linear combination of local and nonlocal monostable-type reactions in a space of bounded functions on $\mathbb{R}^d$. We study asymptotic properties of the travelling waves profiles, find explicit formula for the minimal travelling wave speed and prove the uniqueness of the profiles up to shifts, including the travelling wave with the minimal speed. We cover the special case when the abscissa of the travelling wave with the minimal speed (in a direction) coincides with the abscissa of the diffusion kernel in this direction. |
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