Jesus Ildefonso Diaz

Personal Home Page

http://www.mat.ucm.es/~jidiaz/

Articles in Scholarly Journals [Incomplete List]

  1. Asymptotics for some nonlinear damped wave equation: finite time convergence versus exponential decay results☆
    Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol. 24, no. 6, pp. 1009–1028, 2007
  2. Existence of weak solutions to a system of nonlinear partial differential equations modelling ice streams☆
    Nonlinear Analysis: Real World Applications, vol. 8, no. 1, pp. 267–287, 2007
  3. On an evolution problem associated to the modelling of incertitude into the environment
    Nonlinear Analysis: Real World Applications, vol. 8, no. 1, pp. 399–404, 2007
  4. On some Bernoulli free boundary type problems for general elliptic operators
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 137, no. 05, 2007
  5. Control of turbulence in oscillatory reaction-diffusion systems through a combination of global and local feedback
    Physical Review E, vol. 76, no. 3, 2007
  6. Similarity solutions of an equation describing ice sheet dynamics
    Physica D: Nonlinear Phenomena, vol. 216, no. 2, pp. 319–326, 2006
  7. On a nonlinear Schrödinger equation with a localizing effect
    Comptes Rendus Mathematique, vol. 342, no. 7, pp. 459–463, 2006
  8. On the instantaneous formation of cavitation in hydrodynamic lubrication
    Comptes Rendus Mécanique, vol. 334, no. 11, pp. 645–650, 2006
  9. An energy balance climate model with hysteresis
    Nonlinear Analysis, vol. 64, no. 9, pp. 2053–2074, 2006
  10. On an oblique boundary value problem related to the Backus problem in Geodesy
    Nonlinear Analysis: Real World Applications, vol. 7, no. 2, pp. 147–166, 2006
  11. Mathematical Models and Methods in Applied Sciences, vol. 16, no. 1, p. 1, 2006
  12. On the principle of pseudo-linearized stability: Applications to some delayed nonlinear parabolic equations☆
    Nonlinear Analysis, vol. 63, no. 5-7, pp. e997–e1007, 2005
  13. Large Solutions for a System of Elliptic Equations Arising from Fluid Dynamics
    SIAM Journal on Mathematical Analysis, vol. 37, no. 2, p. 490, 2005
  14. An elliptic–parabolic equation with a nonlocal term for the transient regime of a plasma in a Stellarator
    Journal of Differential Equations, vol. 198, no. 2, pp. 321–355, 2004
  15. Numerical experimentsregarding the distributed control of semilinear parabolic problems
    Computers & Mathematics with Applications, vol. 48, no. 10-11, pp. 1575–1586, 2004
  16. Global stability for convection when the viscosity has a maximum
    Continuum Mechanics and Thermodynamics, vol. 16, no. 4, pp. 347–352, 2004
  17. Stopping a Viscous Fluid by a Feedback Dissipative Field: I. The Stationary Stokes Problem
    Journal of Mathematical Fluid Mechanics, vol. 6, no. 4, pp. 439–461, 2004
  18. A Free Boundary Problem Related to the Location of Volcanic Gas Sources
    Pure and Applied Geophysics, vol. 161, no. 7, pp. 1509–1517, 2004
  19. Pointwise gradient estimates of solutions to onedimensional nonlinear parabolic equations
    Journal of Evolution Equations, vol. 3, no. 4, pp. 577–602, 2003
  20. Introduction
    Journal of Evolution Equations, vol. 3, no. 1, pp. 1–9, 2003
  21. On the mathematical controllability in a simple growth tumors model by the internal localized action of inhibitors
    Nonlinear Analysis: Real World Applications, vol. 4, no. 1, pp. 109–125, 2003
  22. A note on the dynamics of an oscillator in the presence of strong friction
    Nonlinear Analysis, vol. 55, no. 3, pp. 209–216, 2003
  23. On a Doubly Nonlinear Parabolic Obstacle Problem Modelling Ice Sheet Dynamics
    SIAM Journal on Applied Mathematics, vol. 63, no. 2, p. 683, 2003
  24. Mathematical Models and Methods in Applied Sciences, vol. 13, no. 10, p. 1437, 2003
  25. Mathematical Models and Methods in Applied Sciences, vol. 12, no. 10, p. 1401, 2002
  26. Spatial and continuous dependence estimates in linear viscoelasticity
    Journal of Mathematical Analysis and Applications, vol. 273, no. 1, pp. 1–16, 2002
  27. On the confinement of a viscous fluid by means of a feedback external field
    Comptes Rendus Mecanique, vol. 330, no. 12, pp. 797–802, 2002
  28. On the mathematical analysis of the limit case of a radiative—convective climate model
    Nonlinear Analysis: Real World Applications, vol. 3, no. 2, pp. 293–305, 2002
  29. On a nonlocal quasilinear parabolic model related to a current-carrying Stellarator
    Nonlinear Analysis: Real World Applications, vol. 3, no. 4, pp. 503–514, 2002
  30. Infinitely many stationary solutions for a simple climate model via a shooting method
    Mathematical Methods in the Applied Sciences, vol. 25, no. 4, pp. 327–334, 2002
  31. Some Qualitative Properties for the Total Variation Flow
    Journal of Functional Analysis, vol. 188, no. 2, pp. 516–547, 2002
  32. Analysis of a Degenerate Obstacle Problem on an Unbounded Set Arising in the Environment
    Applied Mathematics and Optimization, vol. 45, no. 3, pp. 251–267, 2002
  33. On a quasilinear degenerate system arising in semiconductors theory. Part I: Existence and uniqueness of solutions
    Nonlinear Analysis: Real World Applications, vol. 2, no. 3, pp. 305–336, 2001
  34. A note on hysteresis in glaciology
    Applied Mathematics Letters, vol. 13, no. 3, pp. 125–129, 2000
  35. Sur une équation non locale de type elliptique-parabolique apparaissant dans le régime transitoire d'un plasma magnétiquement confiné dans un « Stellarator å
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 329, no. 9, pp. 773–777, 1999
  36. On a quasilinear degenerate system arising in semiconductor theory. Part II: Localization of vacuum solutions
    Nonlinear Analysis, vol. 36, no. 5, pp. 569–594, 1999
  37. On a degenerate parabolic/hyperbolic system in glaciology giving rise to a free boundary
    Nonlinear Analysis, vol. 38, no. 5, pp. 649–673, 1999
  38. Global bifurcation and continua of nonnegative solutions for a quasilinear elliptic problem
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 329, no. 7, pp. 587–592, 1999
  39. On the Uniqueness of Solutions of a Nonlinear Elliptic Problem Arising in the Confinement of a Plasma in a Stellarator Device
    Applied Mathematics and Optimization, vol. 39, no. 1, pp. 61–73, 1999
  40. Time Periodic Solutions for a Diffusive Energy Balance Model in Climatology
    Journal of Mathematical Analysis and Applications, vol. 233, no. 2, pp. 713–729, 1999
  41. Symmetrization Techniques on Unbounded Domains: Application to a Chemotaxis System on ?N
    Journal of Differential Equations, vol. 145, no. 1, pp. 156–183, 1998
  42. S-Shaped Bifurcation Branch in a Quasilinear Multivalued Model Arising in Climatology
    Journal of Differential Equations, vol. 150, no. 1, pp. 215–225, 1998
  43. On the Approximate Controllability of Some Semilinear Parabolic Boundary-Value Problems
    Applied Mathematics and Optimization, vol. 37, no. 1, pp. 71–97, 1998
  44. Mathematical treatment of the magnetic confinement in a current carrying stellarator
    Nonlinear Analysis, vol. 34, no. 6, pp. 857–887, 1998
  45. Sur la contrôlabilité approchée de problèmes paraboliques avec phénomènes d'explosion
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 327, no. 2, pp. 173–177, 1998
  46. Some results about the approximate controllability property for quasilinear diffusion equations
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 324, no. 11, pp. 1243–1248, 1997
  47. Space localization and uniqueness of solutions of a quasilinear parabolic system arising in semiconductor theory
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 325, no. 3, pp. 267–272, 1997
  48. On a nonlocal elliptic problem arising in the magnetic confinement of a plasma in a stellarator
    Nonlinear Analysis, vol. 30, no. 7, pp. 3963–3974, 1997
  49. On the boussinesq system with non linear thermal diffusion
    Nonlinear Analysis, vol. 30, no. 6, pp. 3255–3263, 1997
  50. Approximate controllability of the Stokes system on cylinders by external unidirectional forces
    Journal de Mathématiques Pures et Appliqués, vol. 76, no. 4, pp. 353–375, 1997
  51. On the Multiplicity of Equilibrium Solutions to a Nonlinear Diffusion Equation on a Manifold Arising in Climatology
    Journal of Mathematical Analysis and Applications, vol. 216, no. 2, pp. 593–613, 1997
  52. Elliptic equations and Steiner symmetrization
    Communications on Pure and Applied Mathematics, vol. 49, no. 3, pp. 217–236, 1996
  53. On a nonlocal stationary free-boundary problem arising in the confinement of a plasma in a Stellarator geometry
    Archive for Rational Mechanics and Analysis, vol. 134, no. 1, pp. 53–95, 1996
  54. Periodic solutions of a quasilinear parabolic boundary value problem arising in unsaturated flow through a porous medium
    Applicable Analysis, vol. 56, no. 3, pp. 279–301, 1995
  55. Mathematical Aspects of the Combustion of a Solid by a Distributed Isothermal Gas Reaction
    SIAM Journal on Mathematical Analysis, vol. 26, no. 2, p. 305, 1995
  56. On a Nonlinear Parabolic Problem Arising in Some Models Related to Turbulent Flows
    SIAM Journal on Mathematical Analysis, vol. 25, no. 4, p. 1085, 1994
  57. Existence for Reaction Diffusion Systems. A Compactness Method Approach
    Journal of Mathematical Analysis and Applications, vol. 188, no. 2, pp. 521–540, 1994
  58. A simple proof of the approximate controllability from the interior for nonlinear evolution problems
    Applied Mathematics Letters, vol. 7, no. 5, pp. 85–87, 1994
  59. On Convexity and Starshapedness of Level Sets for Some Nonlinear Elliptic and Parabolic Problems on Convex Rings
    Journal of Mathematical Analysis and Applications, vol. 177, no. 1, pp. 263–286, 1993
  60. Existence and Regularity of Renormalized Solutions for Some Elliptic Problems Involving Derivatives of Nonlinear Terms
    Journal of Differential Equations, vol. 106, no. 2, pp. 215–237, 1993
  61. The propagation of the free boundary of the solution of the dam problem and related problems
    Applicable Analysis, vol. 49, no. 3, pp. 255–276, 1993
  62. Uniqueness and continuum of foliated solutions for a quasilinear elliptic equation with a non lipschitz nonlinearity
    Communications in Partial Differential Equations, vol. 17, no. 5, pp. 1037–1050, 1992
  63. Space and time localization in the flow of two immiscible fluids through a porous medium: energy methods applied to systems
    Nonlinear Analysis, vol. 16, no. 4, pp. 299–313, 1991
  64. Sufficient and necessary initial mass conditions for the existence of a waiting time in nonlinear-convection processes
    Journal of Mathematical Analysis and Applications, vol. 155, no. 2, pp. 378–392, 1991
  65. Energy method and localization of solutions of equations of continuum mechanics
    Journal of Applied Mechanics and Technical Physics, vol. 30, no. 2, pp. 182–189, 1989
  66. On the behaviour and cases of nonexistence of the free boundary in a semibounded porous medium
    Journal of Mathematical Analysis and Applications, vol. 132, no. 1, pp. 281–289, 1988
  67. On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
    Journal of Differential Equations, vol. 69, no. 3, pp. 368–403, 1987
  68. An elliptic equation with singular nonlinearity
    Communications in Partial Differential Equations, vol. 12, no. 12, pp. 1333–1344, 1987
  69. Local Vanishing Properties of Solutions of Elliptic and Parabolic Quasilinear Equations
    Transactions of the American Mathematical Society, vol. 290, no. 2, p. 787, 1985
  70. On the Existence of a Free Boundary for a Class of Reaction-Diffusion Systems
    SIAM Journal on Mathematical Analysis, vol. 15, no. 4, p. 670, 1984
  71. On a fully nonlinear parabolic equation and the asymptotic behaviour of its solutions
    Journal of Mathematical Analysis and Applications, vol. 95, no. 1, pp. 144–168, 1983
  72. Indiana University Mathematics Journal, vol. 32, no. 3, Article ID 32025, 1983
  73. Comparison of solutions of nonlinear evolution problems with different nonlinear terms
    Israel Journal of Mathematics, vol. 42, no. 3, pp. 241–257, 1982
  74. Solutions with compact support for some degenerate parabolic problems
    Nonlinear Analysis, vol. 3, no. 6, pp. 831–847, 1979
  75. Finite extinction time for a class of non-linear parabolic equations
    Communications in Partial Differential Equations, vol. 4, no. 11, pp. 1213–1231, 1979