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- W1567989719 abstract "The present paper is devoted to the investigation of various properties of transition fronts in nonlocal equations in heterogeneous media of ignition type, whose existence has been established by the authors of the present paper in a previous work. It is first shown that the transition front is continuously differentiable in space with uniformly bounded and uniformly Lipschitz continuous space partial derivative. This is the first time that regularity of transition fronts in nonlocal equations is ever studied. It is then shown that the transition front is uniformly steep. Finally, asymptotic stability, in the sense of exponentially attracting front like initial data, of the transition front is studied." @default.
- W1567989719 created "2016-06-24" @default.
- W1567989719 creator A5064208048 @default.
- W1567989719 date "2015-01-08" @default.
- W1567989719 modified "2023-09-23" @default.
- W1567989719 title "Regularity and stability of transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity" @default.
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- W1567989719 doi "https://doi.org/10.48550/arxiv.1501.02029" @default.
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