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math.AP2017
Actuator design for parabolic distributed parameter systems with the moment method
Yannick Privat, Emmanuel Trélat, Enrique Zuazua
In this paper, we model and solve the problem of designing in an optimal way actuators for parabolic partial differential equations settled on a bounded open connected subset o…
math.AP2012
Asymptotic expansions for anisotropic heat kernels
Liviu I. Ignat, Enrique Zuazua
We obtain the asymptotic expansion of the solutions of some anisotropic heat equations when the initial data belong to polynomially weighted Lp-spaces. We mainly address two model…
math.AP2010
The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
David Krejcirik, Enrique Zuazua
We consider the heat equation in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary condition…