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Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure

✍ Scribed by Michel Pierre


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
762 KB
Volume
6
Category
Article
ISSN
0362-546X

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The initial-value problem for measure-va
✍ E. Weinan; Robert V. Kohn 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 778 KB

## Abstract We discuss Serre's restricted formulation of the notion of a measure‐valued solution, for a 2 × 2 system whose characteristic fields are both linearly degenerate. We prove existence, uniqueness, and regularity results for this formulation. As an application, we prove the convergence of