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math.AP2023
Gevrey WKB method for PDO's of real principal type
Richard Lascar, Ivan Moyano
In this article we investigate the Gevrey version of the WKB method known in the smooth and analytic categories. We use conjugation by FIO's and sketch a calculus of FIO's in our s…
math.AP2023
Simultaneous control for the heat equation with dirichlet and neumann boundary conditions
Iván Moyano, Nicolas Burq
It is well known that both the heat equation with Dirichlet or Neumann boundary conditions are null controlable as soon as the control acts in a non trivial domain (i.e. a set of p…
math.AP2023
A remark on the logarithmic decay of the damped wave and Schrödinger equations on a compact Riemannian manifold
Iván Moyano, Nicolas Burq
In this paper we consider a compact Riemannian manifold (M, g) of class C 1 W 2, and the damped wave or Schrödinger equations on M , under the action of a damping fu…