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Daily Overview |
| Session | |
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DG1: Differential Geometry Location: A704 Session Chair: Oliver Schnürer Session Chair: Miles Simon | |
| Presentation 3 | |
Higher-order geometric flows with fixed boundary values Otto von Guericke University Magdeburg, Germany This talk concerns the Willmore flow for graphs over a bounded planar domain with fixed Dirichlet boundary values. I will present a low-regularity theory that avoids the classical fourth-order compatibility condition at the initial time. The main analytic ingredient is the use of weighted parabolic Hölder spaces, which allow one to derive the a priori estimates required for a linearization-based proof of short-time existence. I will then discuss global gradient bounds and exponential convergence for sufficiently small initial data. This problem provides a model setting for higher-order geometric flows with fixed boundary data. | |



