CORDIS Project
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This project investigates how boundaries and varying materials affect the behavior of solutions to hyperbolic partial differential equations, focusing on wave and Schrödinger equations. It aims to enhance mathematical understanding of wave propagation in complex environments, which has applications in fields like radar…
We are concerned with localization properties of solutions to hyperbolic PDEs, especially problems with a geometric component: how do boundaries and heterogeneous media influence spreading and concentration of solutions.
While our first focus is on wave and Schrdinger equations on manifolds with boundary, strong connections exist with phase space localization for (clusters of) eigenfunctions, which are of independent interest.
Motivations come from nonlinear dispersive models (in physically rele…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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France, Paris
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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