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Rough coefficients in ordinary differential equations

Rudi Weikard
April 8, 2021
11:00AM - 11:50AM
Zoom info below

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Add to Calendar 2021-04-08 11:00:00 2021-04-08 11:50:00 Rough coefficients in ordinary differential equations Speaker:  Rudi Weikard (University of Alabama at Birmingham) Title:  Rough coefficients in ordinary differential equations Speaker's URL:  https://people.cas.uab.edu/~weikard/ Abstract:  We investigate the spectral theory for the system $Ju’+qu=w(\lambda u+f)$ of ordinary differential equations where $J$ is constant invertible skew-hermitian matrix while $q$ is a hermitian and $w$ a non-negative matrix whose entries are distributions of order $0$. A major obstacle is the fact that, in general, the unique continuation of solutions of the differential equation is not possible. Basic information on distributions will be provided. ZOOM coordinates: https://osu.zoom.us/j/95531240801?pwd=M3VjMUtRUDAwUmpzV3hnSVIzVnU1QT09 Meeting ID: 955 3124 0801 Password: Analysis This is a joint Analysis and PDE seminar     Zoom info below Department of Mathematics math@osu.edu America/New_York public

Speaker:  Rudi Weikard (University of Alabama at Birmingham)

Title:  Rough coefficients in ordinary differential equations

Speaker's URL:  https://people.cas.uab.edu/~weikard/

Abstract:  We investigate the spectral theory for the system $Ju’+qu=w(\lambda u+f)$ of ordinary differential equations where $J$ is constant invertible skew-hermitian matrix while $q$ is a hermitian and $w$ a non-negative matrix whose entries are distributions of order $0$. A major obstacle is the fact that, in general, the unique continuation of solutions of the differential equation is not possible. Basic information on distributions will be provided.

ZOOM coordinates:

https://osu.zoom.us/j/95531240801?pwd=M3VjMUtRUDAwUmpzV3hnSVIzVnU1QT09

Meeting ID: 955 3124 0801

Password: Analysis

This is a joint Analysis and PDE seminar

 

 

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