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H.B. Keller Colloquium

Monday, October 10, 2022
4:00pm to 5:00pm
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Annenberg 105
How Much Can One Learn a PDE from a Single Solution Data?
Hongkai Zhao, Ruth F. DeVarney Distinguished Professor, Department of Mathematics, Duke University,

In this work we study a few basic questions for PDE learning from observed solution data. Using various types of PDEs as examples, we show 1) how large the data space spanned by all snapshots along a solution trajectory is, 2) if one can construct an arbitrary solution by superposition of snapshots of a single solution, and 3) identifiability of a differential operator from a single solution data on local patches.

For more information, please contact Diana Bohler by phone at 626-395-1768 or by email at [email protected].