2 papers
math.AP2012
Asymptotic expansions for anisotropic heat kernels
Liviu I. Ignat, Enrique Zuazua
We obtain the asymptotic expansion of the solutions of some anisotropic heat equations when the initial data belong to polynomially weighted Lp-spaces. We mainly address two model…
math.AP2010
Dispersive Properties for Discrete Schrodinger Equations
L. I. Ignat, D. Stan
In this paper we prove dispersive estimates for the system formed by two coupled discrete Schrödinger equations. We obtain estimates for the resolvent of the discrete operator and…