Global existence and partial regularity for the \(p\)-harmonic flow
The author proves a global existence for the Cauchy problem with large initial data for the \(p\)-harmonic flow between two smooth, compact Riemannian manifolds. New monotonicity type formulas of a local scaled energy are devised, and a partial regularity for the solution is established. The partial regularity obtained is almost optimal, comparing with that of the corresponding stationary case. The \(p\)-harmonic flow obtained also converges to a \(p\)-harmonic map along a certain time sequence tending to infinity.
scientific article; zbMATH DE number 7031152
scientific article