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Wave Maps in Dimension $1+1$ with an External Forcing by Brzeźniak, Zdzisław; Jendrej, Jacek; Rana, Nimit is a scholarly article available to read on EtoBox.

What is Wave Maps in Dimension $1+1$ with an External Forcing about?

This paper aims to establish the local and global well-posedness theory in $L^1$, inspired by the approach of Keel and Tao [Internat. Math. Res. Notices, 1998], for the forced wave map equation in the ``external'' formalism. In this context, the target manifold is treated as a submanifold of a Euclidean space. As a corollary, we reprove Zhou's [Math. Z., 1999] uniqueness result, leading to the uniqueness of weak solutions with locally finite energy. Additionally, we achieve the scattering of such solutions through a conformal compactification argument.

Author

Brzeźniak, Zdzisław; Jendrej, Jacek; Rana, Nimit

Published

2024

Language

EN