The speaker: Professor Pier Domenico Lamberti (Universita' degli Studi di Padova).
Title of the talk: “Spectral representation of the trace spaces and the solutions of the Dirichlet biharmonic problem on Lipschitz domains via multi-parameter Steklov problems”.
Time: Thursday, 1 of June, 16:00 - 17:00.
Abstract: We consider the problem of describing the traces of functions in H^2 on the boundary of a Lipschitz domain in the N-dimensional Euclidean space. We provide a definition of those spaces, in particular of H^{3/2} by means of Fourier series associated with the eigenfunctions of new multi-parameter biharmonic Steklov problems which we introduce with this specific purpose. These definitions coincide with the classical ones when the domain is smooth. Our spaces allow to represent in series the solutions to the biharmonic Dirichlet problem. Based on joint work with Luigi Provenzano.
ZOOM link:
https://us02web.zoom.us/j/83673138944?pwd=azQyc1BwUjJFY3VjMStLbFR5Z2VwUT09
ZOOM Id: 836 7313 8944
Passcode: 808818
We are pleased to inform you that the information on previous talks is available on the seminar web page https://researchseminars.org/seminar/Cafe_Analysis_and_Fluid. See Past Talks section.
Organizing Committee: Professors Zhen Lei, Mikhail Korobkov, Adele Ferone, Remigio Russo and Konstantin Pileckas.
This seminar is organized by Fudan University (Shanghai, China) with the collaboration of Universita degli studi della Campania "Luigi Vanvitelli" (Caserta, Italy) and Vilnius University (Vilnius, Lithuania). This seminar is meant to gather renowned experts working on Geometric and Real Analysis with applications to PDEs and Mathematical Physics and represents an opportunity for presenting high-impact research, as well as facilitating the exchange of ideas between researchers.
2023-05-31