${\mathrm{L}}^p$-based Sobolev theory on closed manifolds of minimal regularity: Vector-valued problems

Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov

This paper is the second part of a two-paper series, initiated in arXiv:2603.02163 for scalar PDEs on hypersurfaces, and is concerned with the well-posedness and ${\mathrm{L}}^p$-bas…