31 citations · 163 across the 23 of their papers we have counts for
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Response solutions for quasi-periodically forced, dissipative wave equations
Renato C. Calleja, Alessandra Celletti, Livia Corsi +1
We consider several models of nonlinear wave equations subject to very strong damping and quasi-periodic external forcing. This is a singular perturbation, since the damping is not…
Perturbation and Numerical Methods for Computing the Minimal Average Energy
Timothy Blass, Rafael de la Llave
We investigate the differentiability of minimal average energy associated to the functionals $S_\ep (u) = \int_{\mathbb{R}^d} (1/2)|\nabla u|^2 + \ep V(x,u)\, dx$, using numerical…
A Comparison Principle for a Sobolev Gradient Semi-Flow
Timothy Blass, Rafael de la Llave, Enrico Valdinoci
We consider gradient descent equations for energy functionals of the type S(u) = 1/2 < u(x), A(x)u(x) >_{L^2} + \int_Ω V(x,u) dx, where A is a uniformly elliptic operator of order…