RT Journal Article
T1 PDE problems with concentrating terms near the boundary
A1 Jiménez Casas, Angela
A1 Rodríguez Bernal, Aníbal
AB In this paper we study several PDE problems where certain linear or nonlinear termsin the equation concentrate in the domain, typically (but not exclusively) near the boundary. We analyze some linear and nonlinear elliptic models, linear and nonlinear parabolic ones as well as some damped wave equations. We show that in all these singularly perturbed problems, the concentrating terms give rise in the limit to a modification in the original boundary condition of the problem. Hence we describe in each case which is the singular limit problem and analyze the convergence of solutions.
PB American Insitute of Mathematical Sciences
SN 1534-0392
YR 2020
FD 2020
LK https://hdl.handle.net/20.500.14352/88745
UL https://hdl.handle.net/20.500.14352/88745
LA eng
NO Jiménez-Casas, Á., & Rodríguez-Bernal, A. (2020). PDE problems with concentrating terms near the boundary. Communications On Pure &Amp Applied Analysis, 19(4), 2147-2195. https://doi.org/10.3934/cpaa.2020095
NO Ministerio de Economía, Comercio y Empresa (España)
NO Ministerio de Ciencia, Innovación y Universidades (España) 
DS Docta Complutense
RD 18 abr 2025