3 papers
math.AP2017
From Gaussian estimates for nonlinear evolution equations to the long time behavior of branching processes
L. Beznea, L. I. Ignat, J. D. Rossi
We study solutions to the evolution equation , , in . Here the coefficients verify $ \sum_{k\geqslant 1}q_k…
math.AP2012
Decay estimates for nonlinear nonlocal diffusion problems in the whole space
Liviu I. Ignat, Damián Pinasco, Julio D. Rossi +1
In this paper we obtain bounds for the decay rate in the $L^r (\rr^d)$-norm for the solutions to a nonlocal and nolinear evolution equation, namely, $$u_t(x,t) = \int_{\rr^d} K(x,y…
math.AP2011
Dispersion for the Schrödinger Equation on Networks
Valeria Banica, Liviu Ignat
In this paper we consider the Schrödinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We give an explicit description of the…