BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jean-Philippe Anker (Orléans) DTSTART:20211029T151500Z DTEND:20211029T161500Z DTSTAMP:20260423T022623Z UID:HASS21/9 DESCRIPTION:Title: D ispersive PDE on noncompact symmetric spaces\nby Jean-Philippe Anker ( Orléans) as part of Harmonic Analysis and Symmetric Spaces 2021\n\n\nAbst ract\nMy talk will be devoted to the Schrödinger equation and to the wave equation on general Riemannian symmetric spaces of noncompact type. The m ain issue consists in obtaining good pointwise estimates of their fundamen tal solutions. This is achieved by combining the inverse spherical Fourier transform with the following tools: on the one hand\, a barycentric decom position\, which allows us to handle the Plancherel density as if it were a differentiable symbol\, and\, on the other hand\, an improved Hadamard p arametrix for the wave equation. As consequences\, we deduce dispersive es timates and Strichartz inequalities for the linear equations\, which are s tronger than their Euclidean counterparts\, as well as better results for the nonlinear equations. All this is based on joint works including sever al collaborators: Vittoria Pierfelice in rank one\, Hong-Wei Zhang in high er rank\, with contributions by Maria Vallarino and Stefano Meda.\n LOCATION:https://researchseminars.org/talk/HASS21/9/ END:VEVENT END:VCALENDAR