Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 296, Issue -, Pages 573-592Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2021.06.021
Keywords
Damped wave equation; Asymptotic expansion; Diffusion phenomenon; Wave effect
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In this paper, we obtain higher order asymptotic expansions of solutions to the linear damped wave equation Cauchy problem, where the order of expansions depends on the spatial dimension, presenting new hyperbolic effects.
In this paper we obtain higher order asymptotic expansions of solutions to the Cauchy problem of the linear damped wave equation in R-n u(tt) - Delta u + u(t) = 0, u(0, x) = u0(x), ut (0, x) = u(1)(x), where n is an element of N and u(0), u(1) is an element of L-1(R-n) boolean AND L-2(R-n). Established hyperbolic effects seem to be new in the sense that the order of obtained expansions depends on the spatial dimension. (C) 2021 Elsevier Inc. All rights reserved.
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