Published in Bulletin of the London Mathematical Society (pending minor revisions), 2025
Recommended citation: L. Aguirre Salazar, Xin Yang Lu, and Jun-cheng Wei. (2025) " An Ohta-Kawasaki Model set on the space " arXiv preprint arXiv:2401.03120. Submitted to the Bulletin of the London Mathematical Society. Undergoing minor revisions. https://arxiv.org/pdf/2401.03120.pdf
Published in SIAM Journal of Mathematical Analysis, 2021
Recommended citation: L. Aguirre Salazar, S. Alama, and L. Bronsard (2021). " Convergence of the TFDW Energy to the Liquid Drop Model " SIAM J. Math. Anal. 53(3) pp. 3493-3519. https://doi.org/10.1137/20M1344329
Published in Journal of Mathematical Physics, 2020
Recommended citation: L. Aguirre Salazar, S. Alama, and L. Bronsard (2020). " Mass splitting in the Thomas-Fermi-Dirac-von Weizsäcker model with background potential " Journal of Mathematical Physics 61 021502. https://doi.org/10.1063/1.5130565
Published in Revista Colombiana de Matemáticas, 2017
In this paper, we study a nonlinear nonlocal Black-Scholes model by means of the methods of finite differences, numerical integration and discrete mollification. In this model, conditions for stability and convergence of the discretization proposed are discussed.
Recommended citation: L. Aguirre, H. Contreras and C.D. Acosta (2017). " Numerical solution to a nonlocal and nonlinear Black-Scholes model by discrete mollification " (in Spanish); Revista Colombiana de Matemáticas 51(2), pp.195-220. http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262017000200195&lng=en&nrm=iso
Published in Journal of Nonlinear Convex Analysis, 2015
A self-mapping of a metric space with a bounded range is Rakotch contractive if and only if it is weakly contractive in the sense of Alber and Guerre-Delabriere
Recommended citation: L. Aguirre Salazar and S. Reich (2015). " A remark on weakly contractive mappings" Journal of Nonlinear Convex Analysis 16(4), pp. 767-773. http://www.yokohamapublishers.jp/online2/jncav16-4.html