4 papers · 1 filter
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…
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…