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math.AP2022
Quantitative rigidity of differential inclusions in two dimensions
Xavier Lamy, Andrew Lorent, Guanying Peng
For any compact connected one-dimensional submanifold which has no rank-one connection and is elliptic, we prove the quantitative rigidity estimate…
math.AP2022
On optimal regularity estimates for finite-entropy solutions of scalar conservation laws
Xavier Lamy, Andrew Lorent, Guanying Peng
We consider finite-entropy solutions of scalar conservation laws , that is, bounded weak solutions whose entropy productions are locally finite Radon measures. Unde…