Información del autor
Autor Díaz Díaz, Jesús Ildefonso |
Documentos disponibles escritos por este autor (214)
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We study the propagation of an initial disturbance u(0)(x) of an equilibrium state s epsilon R for the scalar conservation law u(t) + phi(u)(x) = 0 in (0, + infinity) x R. We give a necessary and sufficient condition on phi for the following pro[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Glowinski, R. ; Guidoboni, G. ; Kim, T. | Real Academia Ciencias Exactas Físicas Y Naturales | 2010We study the transient flow of an isothermal and incompressible Bingham fluid. Similar models arise in completely different contexts as, for instance, in material science, image processing and differential geometry. For the two-dimensional flow [...]![]()
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We extend some previous existence results for quenching type parabolic problems involving a negative power of the unknown in the equation to the case of merely integrable initial data. We show that L1 ? is the suitable framework to obtain the co[...]![]()
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This paper deals with several qualitative properties of solutions of some stationary and parabolic equations associated to the Monge-Ampère operator. Mainly, we focus our attention in the occurrence of a free boundary (separating the region wher[...]![]()
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We study the global and non-global existence of solutions of degenerate singular parabolic equation with sources. In the case of global existence, we prove that any solution must vanish identically after a finite time if either the initial data [...]![]()
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Díaz Díaz, Jesús Ildefonso ; Arcoya Álvarez, David ; Tello del Castillo, José Ignacio | Elsevier | 1998-11-20In this paper we show the existence of a continuous and unbounded connected S-shaped set {(Q, u)} where Q is the solar constant and u satisfies a quasilinear eventually multivalued stationary equation on a Riemannian manifold without boundary ar[...]![]()
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Begout, Pascal ; Díaz Díaz, Jesús Ildefonso | Department of Mathematics Texas State University | 2014“Sharp localized” solutions (i.e. with compact support for each given time t) of a singular nonlinear type Schrödinger equation in the whole space R N are constructed here under the assumption that they have a self-similar structure. It requires[...]![]()
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We prove the compactness of the support of the solution of some stationary Schrödinger equations with a singular nonlinear order term. We present here a sharper version of some energy methods previously used in the literature.![]()
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We prove the compactness of the support of the solution of some stationary Schrödinger equations with a singular nonlinear order term. We present here a sharper version of some energy methods previously used in the literature![]()
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This paper focuses upon the derivation of the similarity solutions of a nonlinear equation associated with a free boundary problem arising in glaciology. We present a potential symmetry analysis of this second order nonlinear degenerate paraboli[...]![]()
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A simple proof of the approximate controllability from the interior for nonlinear evolution problems
The approximate controllability property for solutions of a large class of nonlinear evolution problems is obtained under some abstract conditions which hold, for instance, when the control is the right hand side of the equation. Our very simple[...]![]()
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We study the existence, the asymptotic behaviour near the parabolic boundary and the uniqueness of the solutions of nonlinear reaction-diffusion equations, which blow up on the parabolic boundary. We extend some results for elliptic problems giv[...]![]()
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We prove the existence of a finite extinction time for the solutions of the Dirichlet problem for the total variation flow. For the Neumann problem, we prove that the solutions reach the average of its initial datum in finite time. The asymptoti[...]![]()
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In this survey we collect several results concerning S-type bifurcation curves for the number of solutions of reaction-diffusion stationary equations. In particular, we recall several results in the literature for the case of stationary energy b[...]