Hyperbolic equations

Saturday, October 16, 2010 - 9:00am - 9:45am
Christoph Schwab (ETH Zürich)
Problem formulation; examples of elliptic, parabolic, hyperbolic equations with stochastic data; well posedness; the case of infinite dimensional input data (random field); data representation; expansions using a countable number of random variables; truncation and convergence results
Thursday, October 20, 2005 - 2:30pm - 3:20pm
Jerome Le Rousseau (Université d'Aix-Marseille I (Université de Provence))
An approximation of the solution to a hyperbolic equation with a damping term is introduced. It is built as the composition of Fourier integral operators (FIO). We prove the convergence of this approximation in the sense of Sobolev norms as well as for the wavefront set of the solution. We apply the introduced method to
numerically image seismic data.
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