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math.DS2025
Strong Lyapunov functions for rough systems
Luu Hoang Duc, Jürgen Jost
We extend the Lyapunov function technique, a fundamental tool for investigating asymptotic stability and existence of attractors for ordinary differential equations, by introducing…
math.AP2025
Boundary partial regularity for a class of Dirac-harmonic maps
Jürgen Jost, Jingyong Zhu
In this paper, we prove the boundary partial regularity for a class of coupled Dirac-harmonic maps satisfying a certain energy monotonicity inequality near the boundary.