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Equation with boundary feedback damping

A. Jiménez-Casas, A. Rodríguez-Bernal

International Conference on Boundary and Interior Layers - BAIL 2024, La Coruña (España). 10-14 junio 2024


Resumen:

In this paper we consider PDE problems in which certain terms of the equations are concentrated,
when a parameter tends to zero. Usually near the domain boundary.
This implies that the problem in question is subject to singular perturbations that drastically change
the nature of the problem, by passing the limit on this parameter. The objective is then to identify the
form of the limit problem and to describe the process of convergence of solutions, when this parameter
tends to zero. Here we consider a nonlinear PDE problem that is a generalization from previous works
such as [1, 2].


Palabras clave: Transmission problem; Singular limit; Concentrating terms.


Fecha de publicación: junio 2024.



Cita:
Jiménez-Casas, A., Rodríguez-Bernal, A., Equation with boundary feedback damping, International Conference on Boundary and Interior Layers - BAIL 2024, La Coruña (España). 10-14 junio 2024.

IIT-24-047C_abstract

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