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math.AP2021
Acceleration in integro-differential combustion equations
Emeric Bouin, Jérôme Coville, Guillaume Legendre
We study acceleration phenomena in monostable integro-differential equations with ignition nonlinearity. Our results cover fractional Laplace operators and standard convolutions in…
math.AP2021★ 2 cited
Sharp exponent of acceleration in general nonlocal equations with a weak Allee effect
Emeric Bouin, Jérôme Coville, Guillaume Legendre
We study an acceleration phenomenon arising in monostable integro-differential equations with a weak Allee effect. Previous works have shown its occurrence and have given correct u…