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• W2896388045 endingPage "5615" @default.
• W2896388045 startingPage "5569" @default.
• W2896388045 abstract "We study the planar front solution for a class of reaction diffusion equations in multidimensional space in the case when the essential spectrum of the linearization in the direction of the front touches the imaginary axis. At the linear level, the spectrum is stabilized by using an exponential weight. A priori estimates for the nonlinear terms of the equation governing the evolution of the perturbations of the front are obtained when perturbations belong to the intersection of the exponentially weighted space with the original space without a weight. These estimates are then used to show that in the original norm, initially small perturbations to the front remain bounded, while in the exponentially weighted norm, they algebraically decay in time." @default.
• W2896388045 created "2018-10-26" @default.
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• W2896388045 date "2018-01-01" @default.
• W2896388045 modified "2023-09-25" @default.
• W2896388045 title "Stability of a Planar Front in a Class of Reaction-Diffusion Systems" @default.
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• W2896388045 doi "https://doi.org/10.1137/17m1161592" @default.
• W2896388045 hasPublicationYear "2018" @default.
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