Información del autor
Autor Díaz Díaz, Jesús Ildefonso |
Documentos disponibles escritos por este autor (214)
![](./images/expand_all.gif)
![](./images/collapse_all.gif)
![]()
texto impreso
We prove the approximate controllability of several nonlinear parabolic boundary-value problems by means of two different methods: the first one can be called a Cancellation method and the second one uses the Kakutani fixed-point theorem.![]()
texto impreso
We show how the approximate controllability of nonlinear parabolic problems may fail although it is a well-known property for linear equations. For the case of the obstacle problem the answer depends on the negativeness of the righ hand side ter[...]![]()
texto impreso
Díaz Díaz, Jesús Ildefonso ; Liñán Martínez, Amable | Real Academia Ciencias Exactas Físicas Y Naturales | 2001We show that there are two curves of initial data (xo, vo) for which the solutions x(t) of the corresponding Cauchy problem associated to the equation xtt + |xí|a_1 xt + x — 0, where a G (0,1), vanish after a finite time. By using asymptotic and[...]![]()
texto impreso
We prove the existence of a random global attractor for the multivalued random dynamical system associated to a nonlinear multivalued parabolic equation with a stochastic term of amplitude of the order of F. The equation was initially suggested [...]![]()
texto impreso
The authors consider the Fokker-Planck equation ut=(um)xx+b(u?)x, x> 0, t> 0, with initial and boundary data u(x,0)=u0(x), x> 0, u(0,t)=u1(t), t> 0, u0 having its support in a bounded interval. They concentrate on the case 0![]()
texto impreso
The Boussinesq system of hydrodynamics equations, arises from a zero order approximation to the coupling between the Navier-Stokes equations and the thermodynamic equation. The presence of density gradients in a fluid means that gravitational p[...]![]()
texto impreso
We show how to stabilize the uniform oscillations of the complex Ginzburg-Landau equation with periodic boundary conditions by means of some global delayed feedback. The proof is based on an abstract pseudo-linearization principle and a careful [...]![]()
texto impreso
This paper is devoted to a mathematical analysis of some general models of mass transport and other coupled physical processes developed in simultaneous flows of surface, soil and ground waters. Such models are widely used for forecasting (numer[...]![]()
texto impreso
We study the differentiability of very weak solutions v is an element of L(1) (Omega) of (v, L* phi)(0) = (f, phi)(0) for all phi is an element of C(2)((Omega) over bar) vanishing at the boundary whenever f is in L(1) (Omega, delta), with delta [...]![]()
texto impreso
The mathematical analysis of the shape of chemical reactors is studied in this paper through the research of the optimization of its effectiveness g such as introduced by R. Aris around 1960. Although our main motivation is the consideration of [...]![]()
texto impreso
Díaz Díaz, Jesús Ildefonso ; Hernández, Jesús | Society for Industrial and Applied Mathematics | 1984Let ??R N be a bounded smooth domain, f,g?C 1 (R) , ? 1 ,? 2 ?C 2 (??) , b,c?C 2 (R) nondecreasing, ?,?:R?2 R maximal monotone such that 0??(0)??(0) and consider the weakly coupled elliptic system (?) ?u??(u)f(v) , ??v??(u)g(v) on ? with[...]![]()
texto impreso
We study a semilinear elliptic equation with a strong absorption term given by a non-Lipschitz function. The motivation is related with study of the linear Schrödinger equation with an infinite well potential. We start by proving a general exist[...]![]()
texto impreso
Díaz Díaz, Gregorio ; Díaz Díaz, Jesús Ildefonso | American Institute of Mathematical Sciences | 2015-04This paper deals with several qualitative properties of solutions of some stationary equations associated to the Monge-Ampere operator on the set of convex functions which are not necessarily understood in a strict sense. Mainly, we focus our at[...]![]()
texto impreso
We extend some previous local energy method to the study the free boundary generated by the solutions of quenching type parabolic problems involving a negative power of the unknown in the equation.