Proceedings
Inserted: 12 apr 2026
Last Updated: 12 apr 2026
Journal: Hyperbolic Problems: theory, numerics, and applications.
Volume: 1
Pages: 105-112
Year: 2006
Abstract:
We illustrate an approach to a conjecture of Bressan concerning compactness of solutions to ordinary differential equations. This approach combines classical results in the theory of BV functions with recent developments in the theory of renormalized solutions to transport equations. Moreover it leads naturally to some new questions in the theory of BV functions, which turn out to be connected with regularity issues for solutions to Hamilton–Jacobi PDEs and hyperbolic systems of conservation laws.
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