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Session

Gvp3: Geometric variational problems Location: A704 Session Chair: Fabian Rupp Session Chair: Christian Scharrer

Presentation 1

Existence Theory for Geometric Evolution Equations: Short-Time, Long-Time, and Beyond Simon Blatt University Salzburg, Austria IIn this talk we revisit short-time existence theory for geometric evolution equations, presenting new results for the elastic flow and geometric curvature energies of curves. These allow the flows to start from initial curves with merely Hölder continuous unit tangent, beyond the regularity required in the classical theory, but can also be used to prove long-time existence in subcritical settings or construct a blow-up limit at a singularity.