11 citations · 13 across the 9 of their papers we have counts for
4 papers · 1 filter
Remarks on space-time behavior in the Cauchy problems of the heat equation and the curvature flow equation with mildly oscillating initial values
Hiroki Yagisita
We study two initial value problems of the linear diffusion equation and a nonlinear diffusion equation, when Cauchy data are bounded and oscillate mildly. The latter nonlinear hea…
Existence of traveling wave solutions for a nonlocal bistable equation: an abstract approach
Hiroki Yagisita
We consider traveling fronts to the nonlocal bistable equation. We do not assume that the Borel-measure is absolutely continuous with respect to the Lebesgue measure. We show that…
Existence and nonexistence of traveling waves for a nonlocal monostable equation
Hiroki Yagisita
We consider the nonlocal analogue of the Fisher-KPP equation. We do not assume that the Borel-measure is absolutely continuous with respect to the Lebesgue measure. We gives a suff…
Existence of traveling waves for a nonlocal monostable equation: an abstract approach
Hiroki Yagisita
We consider a nonlocal analogue of the Fisher-KPP equation. We do not assume that the Borel-measure for the convolution is absolutely continuous. In order to show the main result,…