Jiménez Casas, AngelaRodríguez Bernal, Aníbal2023-11-162023-11-162020Jiménez-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.20200951534-039210.3934/cpaa.2020095https://hdl.handle.net/20.500.14352/88745In 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal articlehttps://doi.org/10.3934/cpaa.2020095https://www.aimsciences.org/article/doi/10.3934/cpaa.2020095restricted access51Concentrating integralsSingular perturbationsBoundary potentialsConvergence of solutionsMatemáticas (Matemáticas)12 Matemáticas