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Optimal rearrangement problem and normalized obstacle problem in the fractional setting
(De Gruyter, 2020-01)
We consider an optimal rearrangement minimization problem involving the fractional Laplace operator (-Δ)s, 0 < s < 1, and the Gagliardo seminorm jujs. We prove the existence of the unique minimizer, analyze its properties ...
An enrichment scheme for solidification problems
(Springer, 2013-06)
A new enriched finite element formulation for solving isothermal phase change problems is presented. We propose a fixed mesh method, where the discontinuity in the temperature gradient is represented by enriching the finite ...
Free time and mixed constrained optimal control problems
(2010-12-01)
We consider free time optimal control problems with pointwise set control constraints u(t) ∈ U(t). Here we derive necessary conditions of optimality for those problem where the set U(t) is defined by equality and inequality ...
The Calderon problem for quasilinear elliptic equations
(Elsevier, 2020)
In this paper we show uniqueness of the conductivity for the quasilinear Calderon's inverse problem. The nonlinear conductivity depends, in a nonlinear fashion, of the potential itself and its gradient. Under some structural ...
Total least squares problems on infinite dimensional spaces
(IOP Publishing, 2021-04)
We study weighted total least squares problems on infinite dimensional spaces. We present some necessary and sufficient conditions for the regularized problem to have a solution. The existence of solution can also be assured ...
Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains
(TAYLOR & FRANCIS INC, 2010)
We consider the problem [image omitted] in epsilon, u=0 on epsilon, where epsilon: =\{B(a, epsilon) B(b, epsilon)}, with a bounded smooth domain in N, N epsilon 3, ab two points in , and epsilon is a positive small parameter. ...
An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem
(Journal of Computational and Applied Mathematics, 2020)
Szego polynomials and the truncated trigonometric moment problem
(Springer, 2006-12-01)
We show how Szego polynomials can be used in the theory of truncated trigonometric moment problem.