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math.AP2020★ 2 cited
Constructive exact control of semilinear 1D wave equations by a least-squares approach
Arnaud Münch, Emmanuel Trélat
It has been proved by Zuazua in the nineties that the internally controlled semilinear 1D wave equation , with Dirichlet boundary condit…
math.AP2020
Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results
Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat
We establish small-time asymptotic expansions for heat kernels of hypoelliptic Hörmander operators in a neighborhood of the diagonal, generalizing former results obtained in partic…
math.AP2019
Shape turnpike for linear parabolic PDE models
Gontran Lance, Emmanuel Trélat, Enrique Zuazua
We introduce and study the turnpike property for time-varying shapes, within the viewpoint of optimal control. We focus here on second-order linear parabolic equations where the sh…