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arXiv · 2401.04041

A strong unique continuation property for weakly coupled elliptic systems

Mónica Clapp·Víctor Hernández-Santamaría·Alberto Saldaña
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Abstract

We establish the validity of a strong unique continuation property for weakly coupled elliptic systems, including competitive ones. Our proof exploits the system structure and uses Carleman estimates. We apply this result to obtain some nonexistence results for critical systems.

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Mónica Clapp, Víctor Hernández-Santamaría, Alberto Saldaña. 2024-01-08. A strong unique continuation property for weakly coupled elliptic systems. https://arxiv.org/abs/2401.04041

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