Modified scattering for a wave equation with weak dissipation

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dc.creatorWirth, Jens
dc.date2005-09-10
dc.date.accessioned2026-07-07T05:23:06Z
dc.date.available2026-07-07T05:23:06Z
dc.descriptionWe consider the Cauchy problem for the weakly dissipative wave equation $$ \square u+\fracμ{1+t} u_t=0 $$ with parameter $μ\ge2$. Based on the explicit representations of solutions provided in [Math. Meth. Appl. Sci. 2004; {\bf 27}:101-124] sharp decay estimates for data from a dense subspace of the energy space are derived. Furthermore, sharpness is discussed in terms of a modified scattering theory.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0509229
dc.identifierhttp://arxiv.org/abs/math/0509229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76309
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject35L50; 35L15; 35B45
dc.titleModified scattering for a wave equation with weak dissipation
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