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Díaz Díaz, Jesús Ildefonso ; Tello, Lourdes | Department of Mathematics Texas State University | 2007We study a three dimensional climate model which represents the coupling of the mean surface temperature with the ocean temperature. We prove the existence of a bounded weak solution by a fixed point argument.texto impreso
We start by studying the finite extinction time for solutions of the abstract Cauchy problem u(t) + Au + Bu = 0 where A is a maximal monotone operator and B is a positive operator on a Hilbert space H. We use a suitable spectral energy method to[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Faghloumi, Ch. | Real Academia Ciencias Exactas Físicas Y Naturales | 2008An application of the results of this paper proves that there is not always an economic benefit when destroying the environment for planting an alternative industrial project. Our criterion, to act, to delay or to deny the industrial investment [...]texto impreso
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Díaz Díaz, Jesús Ildefonso ; Bejenaru, Ioan ; Vrabie, Ioan I. | Texas State University, Department of Mathematics | 2001The authors obtain an approximate controllability result for the nonlinear equation $y'+Ay+F(t,y)y=h(t)$ with the initial condition where $x$ is the control and $A$ generates a $C_0$-semigroup in a Hilbert space. The Schauder fixed poi[...]texto impreso
The purpose of this paper is to study the problem (P) ??u+u??=f in ?, u=0 on ??, u???L1(?), u> 0 in ?, where ? is a bounded smooth open set of RN, f?0, f?L1(?) and 0texto impreso
Díaz Díaz, Jesús Ildefonso ; Lerena Guil, María Belen ; Padial Molina, Juan Francisco ; Rakotoson, Jean Michel Theresien | Elsevier | 2004-04-10We prove the existence and the regularity of weak solutions of a nonlocal elliptic–parabolic free-boundary problem involving the notions of relative rearrangement and monotone rearrangement. The problem arises in the study of the dynamics of a m[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Hetzer, G. ; Tello del Castillo, Lourdes | Pergamon-Elsevier Science | 2006-05-01Energy balance climate models of Budyko type lead to reaction-diffusion equations with slow diffusion and memory on the 2-sphere. The reaction part exhibits a jump discontinuity (at the snow line). Here we introduce a Babuska-Duhem hysteresis in[...]texto impreso
We give a simple mathematical proof of the popular strategy "donít put o§ for tomorrow what you can do today" by using the HUM method due to Jacques-Louis Lions for the controllability of linear systems.texto impreso
We study a class of optimization dynamics problems related to investment under uncertainty. The general model problem is reformulated in terms of an obstacle problem associated to a second-order elliptic operator which is not in divergence form.[...]texto impreso
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Wt,give some negative and positive results on the approximate controllability of the Stokes system formulated on a cylinder Omega = G x R of R-3 when the control is a density of external unidirectional forces. We distinguish the case where the d[...]texto impreso
This paper concerns the blow-up behavior of large radial solutions of polyharmonic equations with power nonlinearities and positive radial weights. Specifically, we consider radially symmetric solutions of mu = c(|x|)|u| p on an annulus {x ? Rn [...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Hetzer, Georg | Department of Mathematics Texas State University | 2007This note is devoted to stick-slip aspects of the motion of a dry friction damped oscillator under weak irregular forcing. Our main result complements[10, Theorem 3.(a)] and is also related to [1], where a non-Lipschitz model for Coulomb frictio[...]
