The averaging principle in the case of the Cauchy problem for quasilinear parabolic equations with variable principal part.
The Singularity Expansion Method applied to the transient motions of a floating elastic plate
In this paper we propose an original approach for the simulation of the time-dependent response of a floating elastic plate using the so-called Singularity Expansion Method. This method consists in computing an asymptotic behaviour for large time obtained by means of the Laplace transform by using the analytic continuation of the resolvent of the problem. This leads to represent the solution as the sum of a discrete superposition of exponentially damped oscillating motions associated to the poles...
Three solutions for quasilinear equations in near resonance.
Transition layer for the heterogeneous Allen–Cahn equation