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math.DG2026
Lipschitz regularity of harmonic map heat flows into spaces
Hui-Chun Zhang, Xi-Ping Zhu
In 1964, Eells and Sampson proved the celebrated long-time existence and convergence for the harmonic map heat flow into non-positively curved Riemannian manifolds. In 1992, Gromov…
math.DG2025
Optimal boundary regularity of harmonic maps from -spaces to -spaces
Hui-Chun Zhang, Xi-Ping Zhu
In 1983, Schoen-Uhlenbeck \cite{SU83} established boundary regularity for energy-minimizing maps between smooth manifolds with the Dirichlet boundary condition under the assumption…
math.DG2024
Boundary Regularity of Harmonic maps from -space to -space
Hui-Chun Zhang, Xi-Ping Zhu
We establish the boundary regularity of harmonic maps from metric measure spaces into metric spaces.