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Jesús Ildefonso Díaz Díaz

Jesús Ildefonso Díaz Díaz
Position: Catedrático de universidad (Professor)

Department of Applied Mathematics, Faculty of Mathematics, UCM (Spain)

Programme MODySIM

e-mail: ildefonso_diaz@mat.ucm.es
web: http://ochoa.mat.ucm.es/~jidiaz/
 

Main recent publications:

  • J. I. Díaz, J. Hernández and J. M. Rakotoson. On very weak positive solutions to some semilinear elliptic problems with simultaneous  singular nonlinear and spatial dependence terms. Milan J. Maths. 79 (2011) 233-245  (PDF)
  • G. Díaz, J. I. Díaz, J. Otero: Construction of the maximal solution of Backus' problem in Geodesy and Geomagnetism. Stud. Geophys. Geod., 55 (2011), 415-440 (PDF)
  • J. I. Díaz, On the very weak solvability of the beam equation. Rev. R. Acad. Cien. Serie A. Mat  (RACSAM)105 (2011), 167–172, DOI 10.1007/s13398-011-0017-7. (PDF)
  • M. Badii (†) and J.I. Díaz, On the time periodic free boundary associated to some nonlinear parabolic equations. Boundary Value Problems. Boundary Value Problems, Volume 2010, Article ID 147301, doi:10.1155/2010/147301 (PDF)
  • J. I. Díaz, Conexiones interdisciplinares: Matemáticas y Ciencias de la Salud,  Monografías del Instituto Interdisciplinar de Matemáticas (IMI) de la UCM. Madrid. Mayo, 2011.  (PDF)
  • Y. Belaud, J.I. Díaz, Abstract results on the finite extinction time property: application to a singular parabolic equation. Journal of Convex Analysis 17 (2010), No. 3&4, 827-860
  • J.I. Díaz, M. Sauvageot, Euler’s tallest column revisited, Nonlinear Analysis: Real World Applications, 11 (2010) 2731-2747
  • J.I. Díaz, J.M. Rakotoson, On very weak solutions of semilinear elliptic equations with right hand side data integrable with respect to the distance to the boundary, Discrete and Continuum Dynamical Systems, Vol.27, 3, 2010, 1037-1058
  • S.N. Antontsev, J.I. Díaz, New L1 -gradient estimates of solutions to one dimensional quasilinear parabolic systems, Communications in Contemporary Mathematics, 2010, Vol. 12, 1, 85-106
  • J. I. Díaz, R. Glowinski, G. Guidoboni, T. Kim, Qualitative properties and approximation of solutions of Bingham flows: on the stabilization for large time and the geometry of the support. Rev. R. Acad. Cien. Serie A. Mat RACSAM 104 (1), 2010, 157–200.
  • J.I. Díaz, J.A. Langa, J. Valero, On the asymptotic behaviour of solutions of a stochastic energy balance climate model. Physica D, 238 (2009), 880-887
  • Casal, J. I. Díaz & J. M. Vegas: Blow-up in Some Ordinary and Partial Differential Equations with Time-Delay. Dynamic Systems and Applications, 18 (2009) 29-46
  • J. I. Díaz: Observación y Cálculo: los comienzos de la Real Academia de Ciencias y sus primeros Correspondientes Extranjeros. Real Academia de Ciencias Exactas Físicas y Naturales. Madrid 2009. ISBN: 978-84-613-5733-8
  • J. I. Díaz, A. Fowler, A. I. Muñoz & E. Schiavi: Modelling River Channel Formation. En Maths and Water. Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. vol. 31, 2009, J. I. Díaz, A. Elipe, A. Quarteroni and L. Rández, pp. 57-66
  • J.I. Díaz, S. Shmarev, "Langragian approach to level sets: application to a free boundary problem arising in climatology", Archive for Rational Mechanics and Analysis, 194, 2009,no.1, 75-103, DOI link: http://dx.doi.org/10.1007/s00205-008-0164-y
  • A.C.Casal, J.I. Díaz, J.M. Vegas, "Finite extinction and null controllability via delayed feedback non-local actions", Nonlinear Analysis 71 (2009), pp. e2018-e2022, DOI information: 10.1016/j.na.2009.03.008
  • L. Álvarez, J.I. Díaz,  "On the retention of the interfaces in some elliptic and parabolic nonlinear problems", Discrete and Continuum Dynamical Systems, Vol. 25, Nº1, (2009), 1-17.
  • J.I. Díaz, S. Shmarev, "Lagrangian approach to the study of level sets II: a quasilinear equation in climatology", J. Math. Anal. Appl. 352 (2009) 475–495
  • J.I. Díaz, J. Hernández and F.J. Mancebo, "Branches of positive and free boundary solutions for some singular quasilinear elliptic problems". J. Math. Anal. Appl. 352 (2009) 449–474
  • J.I. Díaz, J.M. Rakotoson, "On the differentiability of very weak solutions with right hand side data integrable with respect to the distance to the boundary", Journal Functional Analysis 257 (2009) 807–831
  • J.I. Díaz, J.A. Langa, J. Valero, "On the asymptotic behaviour of solutions of a stochastic energy balance climate model."Physica D, 238 (2009), 880-887.
  • S.N. Antontsev, J.I. Díaz,  "On gradient estimates and other qualitative properties of solutions of nonlinear non autonomous parabolic systems", Rev. R. Acad. Cien. Serie A. Mat 103 (1), (2009)201-214.
  • J.I. Díaz, E. Sanchez-Palencia, "Stabilization beyond the distributions", Rev. R. Acad. Cien. Serie A. Mat, 103 (1), (2009) 167-176.
  • J. I. Díaz, E. Sánchez-Palencia, "On a problem of slender slightly hyperbolic shells suggested by Torroja’s structures". CRAS Mechanique, 337 (2009) 1-7.
  • A. G. Camacho, J. I. Díaz & J. Fernández (Eds.): Earth Sciences and Mathematics, Volume II. Reprint from "Pure and Applied Geophysics" (PAGEOPH), Vol.165 (2008) No.8, Series: Pageoph Topical Volumes, 2009, 254 p., Softcover ISBN: 978-3-7643-9963-4, Birkhäuser Basel, DOI link: http://dx.doi.org/10.1007/978-3-7643-9964-1

 

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