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- W2043018766 abstract "We add to a kink, which is a 1 dimensional structure, two transversal directions. We then check its asymptotic stability with respect to compactly supported perturbations in 3D and a time evolution under a Nonlinear Wave Equation (NLW). The problem is inspired by work by Jack Xin on asymptotic stability in dimension larger than 1 of fronts for reaction diffusion equations. The proof involves a separation of variables. The transversal variables are treated as in work on Nonlinear Klein Gordon Equation (NLKG) originating from Klainerman and from Shatah in a particular elaboration due to Delort et al. The longitudinal variable is treated by means of a result by Weder on dispersion for Schrödinger operators in 1D." @default.
- W2043018766 created "2016-06-24" @default.
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- W2043018766 date "2007-11-28" @default.
- W2043018766 modified "2023-09-27" @default.
- W2043018766 title "On asymptotic stability in 3D of kinks for the 𝜙⁴ model" @default.
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- W2043018766 doi "https://doi.org/10.1090/s0002-9947-07-04356-5" @default.
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