H.B. Keller Colloquium
Annenberg 105
How Much Can One Learn a PDE from a Single Solution Data?
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].
Event Series
H. B. Keller Colloquium Series