Unique continuation theorems for biharmonic maps
Volker Branding, Cezar Oniciuc
TL;DR
This paper establishes unique continuation theorems for biharmonic maps, demonstrating that under certain conditions, these maps are uniquely determined by their behavior on small regions.
Contribution
The paper introduces new unique continuation results specifically for biharmonic maps between Riemannian manifolds, expanding understanding of their rigidity properties.
Findings
Unique continuation results for biharmonic maps established
Conditions under which biharmonic maps are uniquely determined
Advances in the mathematical theory of biharmonic maps
Abstract
We prove several unique continuation results for biharmonic maps between Riemannian manifolds.
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