9 citations · 9 across the 1 of their papers we have counts for
3 papers
math.AP2015★ 9 cited
Abstract theory of decay estimates: perturbed Hamiltonians
Manuel Larenas, Avy Soffer
For two self-adjoint operators we show that a general commutation relation of type , in addition to regularity of and Kato-smoothness of , guar…
math.AP2014
Abstract theory of pointwise decay with applications to wave and Schrödinger equations
Vladimir Georgescu, Manuel Larenas, Avy Soffer
We prove pointwise in time decay estimates via an abstract conjugate operator method. This is then applied to a large class of dispersive equations.
nlin.PS2009
Fano resonances in saturable waveguide arrays
Uta Naether, Daniel E. Rivas, Manuel A. Larenas +2
We study a waveguide array with an embedded nonlinear saturable impurity. We solve the impurity problem in closed form and find the nonlinear localized modes. Next, we consider the…