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• W2590634597 abstract "This paper is concerned with traveling curved fronts in reaction diffusion equations with degenerate monostable and combustion nonlinearities. For a given admissible pyramidal in three-dimensional spaces, the existence of a pyramidal traveling front has been proved by Wang and Bu [30] recently. By constructing new supersolutions and developing the arguments of Taniguchi [25] for the Allen-Cahn equation, in this paper we first characterize the pyramidal traveling front as a combination of planar fronts on the lateral surfaces, and then establish the uniqueness and asymptotic stability of such three-dimensional pyramidal traveling fronts under the condition that given perturbations decay at infinity." @default.
• W2590634597 created "2017-03-03" @default.
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• W2590634597 date "2017-01-01" @default.
• W2590634597 modified "2023-09-23" @default.
• W2590634597 title "Stability of pyramidal traveling fronts in the degenerate monostable and combustion equations Ⅰ" @default.
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• W2590634597 doi "https://doi.org/10.3934/dcds.2017104" @default.
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