30 citations · 98 across the 17 of their papers we have counts for
4 papers · 1 filter
Homogenization and Shape Differentiation of Quasilinear Elliptic Equations
David Gómez-Castro
This thesis is divided into five chapters. The aim is the study of the effectiveness of a chemical as defined by R. Aris for semilinear elliptic equations. The first chapter focuse…
Linear diffusion with singular absorption potential and/or unbounded convective flow: the weighted space approach
Jesús Ildefonso Díaz, David Gómez-Castro, Jean-Michel Rakotoson +1
In this paper we prove the existence and uniqueness of very weak solutions to linear diffusion equations involving a singular absorption potential and/or an unbounded convective fl…
Existence and uniqueness of solutions of Schrödinger type stationary equations with very singular potentials without prescribing boundary conditions and some applications
Jesús Ildefonso Díaz, David Gómez-Castro, Jean-Michel Rakotoson
Motivated mainly by the localization over an open bounded set of of solutions of the Schrödinger equations, we consider the Schrödinger equation over with a v…
Shape differentiation of a steady-state reaction-diffusion problem arising in Chemical Engineering: the case of non-smooth kinetic with dead core
David Gómez-Castro
In this paper we consider an extension of the results in shape differentiation of semilinear equations with smooth nonlinearity presented in J.I. Díaz and D. Gómez-Castro: An Appli…