Accepted Paper
Inserted: 21 mar 2018
Last Updated: 5 jun 2023
Journal: Nonlinear Anal.
Year: 2018
Abstract:
In this note we generalize the Ball-James rigidity theorem for gradient differential inclusions to the setting of a general linear differential constraint. In particular, we prove the rigidity for approximate solutions to the two-state inclusion with incompatible states for merely $\mathrm{L}^1$-bounded sequences. In this way, our theorem can be seen as a result of compensated compactness in the linear-growth setting.
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