RT Journal Article
T1 A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary
A1 Jiménez Casas, Ángela
A1 Rodríguez Bernal, Aníbal
AB In this paper we study an initial and boundary value problem for damped wave equations with nonlinear singular terms concentrating away from the boundary of the domain, on an interior neighbourhood of a hyper-surface  M that collapses to M as ɛ  goes to zero. We describe the conditions for well posedness of both the approximating and limit problems, as well as the convergence, at the singular limit, of the solutions of the former to solutions of the latter, when the parameter ɛ  goes to zero.
PB Elsevier
SN 0362-546X
YR 2024
FD 2024
LK https://hdl.handle.net/20.500.14352/101762
UL https://hdl.handle.net/20.500.14352/101762
LA eng
NO Á. Jiménez-Casas, A. Rodríguez-Bernal, A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary, Nonlinear Analysis 241 (2024) 113492. https://doi.org/10.1016/j.na.2024.113492.
NO Ministerio de Economía y Competitividad (España)
NO Ministerio de Ciencia e Innovación (España)
DS Docta Complutense
RD 9 abr 2025