9 papers
Learning from user's behaviour of some well-known congested traffic networks
Isolda Cardoso, Lucas Venturato, Jorgelina Walpen
The traffic assignment problem (TAP) aims to predict how traffic flows distribute themselves across a road network, traditionally requiring computationally expensive iterative simu…
The moduli space of left-invariant metrics on six-dimensional characteristically solvable nilmanifolds
Isolda Cardoso, Ana Cosgaya, Silvio Reggiani
A real Lie algebra is said to be characteristically solvable if its derivation algebra is solvable. We explicitly determine the moduli space of left-invariant metrics, up to isomet…
About the Convergence of a Family of Initial Boundary Value Problems for a Fractional Diffusion Equation with Robin Conditions
Isolda Cardoso, Sabrina D. Roscani, Domingo A. Tarzia
We consider a family of initial boundary value problems governed by a fractional diffusion equation with Caputo derivative in time, where the parameter is the Newton heat transfer…
Explicit fundamental solution for the operator on the Gelfand pair
Isolda E. Cardoso, Mauro Subils, Raúl E. Vidal
By means of the spherical functions associated to the Gelfand pair we define the operator , where denotes the Heisenberg sublaplacian and de…
Nonlocal diffusion equations in Carnot Groups
Isolda Eugenia Cardoso, Raúl Emilio Vidal
Let be a Carnot group. We study nonlocal diffusion equations in a domain of of the form $$ u_t^ε(x,t)=\int_{G}\frac{1}{ε^2}K_ε(x,y)(u^ε(y,t)-u^ε(x,t))\,dy, \qquad x\in…
Interior Lp-estimates for elliptic and parabolic Schrödinger type operators and local Ap-weights
Isolda Cardoso, Pablo Viola, Beatriz Viviani
Let Omega be a non-empty open proper and connected subset of R^n. Consider p elliptic Schrödinger type operator L_{E}u=A_{E}u+V in Omega, and the linear parabolic operator L_{P}u=A…
On the pointwise convergence to initial data of heat and Poisson problems for the Bessel operator
Isolda Cardoso
We find optimal integrability conditions on the initial data for the existence of solutions and of the heat and Poisson initial data prob…
Extending invariant complex structures
Rutwig Campoamor Stursberg, Isolda E. Cardoso, Gabriela P. Ovando
We study the problem of extending a complex structure to a given Lie algebra g, which is firstly defined on an ideal h of g. We consider the next situations: h is either complex or…
Explicit fundamental solutions of some second order differential operators on Heisenberg groups
Isolda Cardoso, Linda Saal
Let be natural numbers such that . Let $\FF$ be either $\CC$, the complex numbers field, or $\HH$, the quaternionic division algebra. We consider the Heisenberg grou…