7 papers
Optimization problems for elliptic PDEs
Giuseppe Buttazzo, Juan Casado-Díaz, Faustino Maestre
In this paper we consider some optimal control problems governed by elliptic partial differential equations. The solution is the state variable, while the control variable is, depe…
Optimal coefficients for elliptic PDEs
Giuseppe Buttazzo, Juan Casado-Díaz, Faustino Maestre
We consider an optimization problem related to elliptic PDEs of the form with Dirichlet boundary condition on a given domain . The coefficient $a(x)…
Optimal sources for elliptic PDEs
Giuseppe Buttazzo, Juan Casado-Díaz, Faustino Maestre
We investigate optimal control problems governed by the elliptic partial differential equation subject to Dirichlet boundary conditions on a given domain . The control v…
On the regularity of optimal potentials in control problems governed by elliptic equations
Giuseppe Buttazzo, Juan Casado_Díaz, Faustino Maestre
In this paper we consider optimal control problems where the control variable is a potential and the state equation is an elliptic partial differential equation of a Schrödinger ty…
On existence of optimal potentials on unbounded domains
Giuseppe Buttazzo, Juan Casado-díaz, Faustino Maestre
We consider elliptic equations of Schrödinger type with a right-hand side fixed and with the linear part of order zero given by a potential V . The main goal is to study the optimi…
Optimal potentials for problems with changing sing data
Giuseppe Buttazzo, Faustino Maestre, Bozhidar Velichkov
We consider optimal control problems where the state equation is an elliptic PDE of a Schrödinger type, governed by the Laplace operator with the addition of a potential V, an…
Optimal Shape for Elliptic Problems with Random Perturbations
Giuseppe Buttazzo, Faustino Maestre
In this paper we analyze the relaxed form of a shape optimization problem with state equation $\{{array}{ll} -div \big(a(x)Du\big)=f\qquad\hbox{in}D \hbox{boundary conditions on}\p…