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Mathematical analysis of Partial Differential Equations and other topics

Publications

  • J. Ildefonso Díaz. Unexpected regionally negative solutions of the homogenization of Poisson equation with dynamic unilateral boundary conditions: critical symmetric particles. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 118, 9. 2024. https://doi.org/10.1007/s13398-023-01503-w
  • N. Abatangelo, D. Gómez-Castro, J. L. Vázquez. Singular boundary behaviour and large solutions for fractional elliptic equations. Journal of the London Mathematical Society. 2023, 107, 2, 568-615. https://doi.org/10.1112/jlms.12692
  • Á. Arroyo García. Origami Fractal. Boletín del IMI, Nº 73 (12 de Ene. 2023), Sección "1+400. Divulgación con 1 imágen y 400 palabras." https://doi.org/10.57037/b-imi.00073.1mas400
  • A. C. Casal, G. Díaz, J. I.Díaz, J. M. Vegas. Controlled boundary explosions: dynamics after blow-up for some semilinear problems with global controls. Discrete and Continuous Dynamical Systems Series S, 2023, 43(3&4), 1201-1238. https://doi.org/10.3934/dcds.2022075
  • A. M. Ramos, Nash Equilibria Strategies and Equivalent Single-Objective Optimization Problems. The Case of Linear Partial Differential Equations. Applied Mathematics & Optimization, Vol. 87, Article Number: 30, 2023. DOI link: https://doi.org/10.1007/s00245-022-09944-2
  • P. Bégout, J. I. Díaz. Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity. Journal of Differential Equations. 2022, 308, 252-285. https://doi.org/10.1016/j.jde.2021.11.010
  • J. A. Carrillo, D. Gómez-Castro, J. L. Vázquez. Infinite-time concentration in aggregation–diffusion equations with a given potential. Journal des Mathematiques Pures et Appliquees. 2022, 157, 346-398. https://doi.org/10.1016/j.matpur.2021.11.002
  • J. A. Carrillo, D. Gómez-Castro, J. L. Vázquez, A fast regularisation of a Newtonian vortex equation, Annales de l'Institut Henri Poincaré C, 2022, vol. 39, nº3, pp.705-747 https://doi.org/10.4171/AIHPC/17
  • J.  A. Carrillo, D. Gómez-Castro, J. L. Vázquez. Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility. Advances in Nonlinear Analysis. 2022, 11, 1, 937 – 967. http://doi.org/10.1515/anona-2021-0231
  • G. Díaz, J. I. Díaz. Stochastic energy balance climate models with Legendre weighted diffusion and an additive cylindrical Wiener process forcing. Discrete and Continuous Dynamical Systems - Series S. 2022, vol. 15, No. 10, 2837-2870. https://doi.org/10.3934/dcdss.2021165
  • J. I. Díaz, J. Giacomoni. Monotone continuous dependence of solutions of singular quenching parabolic problems. Rendiconti del Circolo Matemático di Palermo Series 2, 2022. https://doi.org/10.1007/s12215-022-00814-y
  • J. I. Díaz, A. Liñan. Descarga de gases en conductos largos: un problema de permanente actualidad. Boletín del IMI, Nº 63 (13 Oct 2022), Sección "1+400. Divulgación con 1 imagen y 400 palabras". https://doi.org/10.57037/b-imi.00063.1mas400. 
  • J. I. Díaz, A. V. Podolskiy, T. A. Shaposhnikova, Boundary control and homogenization: optimal climatization through smart double skin boundaries, Differential and Integral Equations, ISSN : 0893-4983, 2022, 35, 3 / 4, 191-210, link 
  • J. I. Díaz, A. V. Podolskiy, and T. A. Shaposhnikova. On the convergence of controls and cost functionals in some optimal control heterogeneous problems when the homogenization process gives rise to some strange terms. Journal of Mathematical Analysis and Applications. 2022, 506, 1, 125559. https://doi.org/10.1016/j.jmaa.2021.125559
  • J. I. Díaz, A. V. Podolskiy, T. A. Shaposhnikova. On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape. Doklady Mathematics, 2022, Vol.105, Nº 1, pp. 6-13. preprint
  • J. I. Díaz, J. Hernández, Bounded positive solutions for diffusive logistic equations with unbounded distributed limitations, Discrete & Continuous Dynamical Systems-S, 2022, 15(10): 2871-2887, https://www.aimsciences.org/article/doi/10.3934/dcdss.2022018
  • J. A. Infante & J. M. Rey: Métodos Numéricos. Teoría, problemas y prácticas con Matlab (6 edición). Ediciones Pirámide (Grupo Anaya), 2022. ISBN: 978-84-368-4580-8

  

  • A. M. Ramos. El Concurso de Modelización Matemática del IMI. Boletín electrónico de la SEMA, Número 29, febrero 2022, pp. 9–15. https://www.sema.org.es/Boletines/boletin29/sec1.html

  • A. M. Ramos. En memoria de Roland Glowinski. Boletín de la RSME, Número 745, 4 febrero 2022, pp. 6–7. https://www.rsme.es/wp-content/uploads/2022/02/Boletin745.pdf

  • L. Brasco, D. Gómez-Castro, J. L. Vázquez. Characterisation of homogeneous fractional Sobolev spaces. Calculus of Variations and Partial Differential Equations. 2021, 60, 2, Article number 60. https://doi.org/10.1007/s00526-021-01934-6
  • F. Brock, J. I. Díaz, A. Ferone, D. Gómez-Castro, A. Mercaldo. Steiner symmetrization for anisotropic quasilinear equations via partial discretization. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2021, 38, 2, 347-368, https://doi.org/10.1016/j.anihpc.2020.07.005
  • A. C. Casal, J. I. Díaz. Feedback Delay as a Control Tool: The Complex Ginzburg–Landau Equation with Local and Nonlocal Delayed Perturbations. In Recent Trends in Chaotic, Nonlinear and Complex Dynamics. Editorial: World Scientific (Series on Nonlinear Science Series B: Volume 19). 2021, 455 – 513. ISBN: 978-981-122-189-7 (hardcover), ISBN: 978-981-122-191-0 (eBook).
  • H. Chan, D. Gómez-Castro, J. L. Vázquez. Blow-up phenomena in nonlocal eigenvalue problems: When theories of L1 and L2 meet. Journal of Functional Analysis. 2021, 280, 7, 108845. https://doi.org/10.1016/j.jfa.2020.108845
  • N. A. Dao, J. I. Díaz. Logarithmically improved regularity criteria for the Navier-Stokes equations in homogeneous Besov spaces. Electronic Journal of Differential Equations. 2021, Article number 89. Link.
  • F. del Teso, D. Gómez-Castro, J. L. Vázquez. Three representations of the fractional p -Laplacian: Semigroup, extension and Balakrishnan formulas. Fractional Calculus and Applied Analysis. 2021, 24(4), 966 – 1002. https://doi.org/10.1515/fca-2021-0042
  • J. I. Díaz, F. Feo, M. R. Posteraro. Half-space Gaussian symmetrization: Applications to semilinear elliptic problems. Advances in Nonlinear Analysis. 2021, 10, 1, 1201-1221. https://doi.org/10.1515/anona-2020-0169
  • J. I. Díaz, D. Gómez-Castro, T. A. Shaposhnikova. Nonlinear Reaction-Diffusion Processes for Nanocomposites: Anomalous Improved Homogenization. De Gruyter Series in Nonlinear Analysis and Applications. 2021. https://doi.org/10.1515/9783110648997 Hardcover ISBN: 9783110647273, eBook ISBN: 9783110648997

 

  • J. I. Díaz, J. Hernández. On some local and non-local elliptic systems arising in desertification studies. Rend. Mat. Appl. 2021, (7) 42 no. 3-4, 227–251. Pdf.
  • J. I. Díaz, D. Hilhorst, P. Kyriazopoulos. A parabolic system with strong absorption modeling dry-land vegetation. Electronic Journal of Differential Equations. 2021, 2021, Article number 8. https://ejde.math.txstate.edu/Volumes/2021/08/diaz.pdf
  • A. Díaz-Cano, I. M. Gómez-Chacón, J. A. Infante, A. Riesco.Teaching Inquiry-Oriented Mathematics: Establishing Support for Novice Lecturers. In Inquiry in University Mathematics Teaching and Learning. Editorial: Masaryk University Press.2021, 289-306. ISBN 978-80-210-9982-1 e-ISBN 978-80-210-9983-8. https://doi.org/10.5817/CZ.MUNI.M210-9983-2021-16
  • A. E. Hramov, A. A. Koronovskii, V. A. Makarov, V. A. Maksimenko, A. N. Pavlov, E. Sitnikova. Wavelets in Neuroscience. Springer Series in Synergetics. 2021. https://doi.org/10.1007/978-3-030-75992-6. Hardcover ISBN: 978-3-030-75991-9, Softcover ISBN: 978-3-030-75994-0, eBook ISBN: 978-3-030-75992-6.

 

  • S. A. Lobov, A. I. Zharinov, V. A. Makarov, V. B. Kazantsev. Spatial memory in a spiking neural network with robot embodiment. Sensors. 2021, 21, 8, Article number 2678. https://doi.org/10.3390/s21082678
  • J. A. Villacorta-Atienza, C. Calvo Tapia, S. Díez-Hermano, A. Sánchez-Jiménez, S. Lobov, N. Krilova, A. Murciano, G. E. López-Tolsa, R. Pellón, V. A. Makarov. Static internal representation of dynamic situations reveals time compaction in human cognition. Journal of Advanced Research (2020). 2021, 28, 111-125. https://doi.org/10.1016/j.jare.2020.08.008