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Lax–Hopf formula and Max-Plus properties of solutions to Hamilton–Jacobi equations

✍ Scribed by Aubin, Jean-Pierre

Book ID
115317038
Publisher
SP Birkhäuser Verlag Basel
Year
2012
Tongue
English
Weight
578 KB
Volume
20
Category
Article
ISSN
1021-9722

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📜 SIMILAR VOLUMES

The Lax solution to a Hamilton–Jacobi eq
The Lax solution to a Hamilton–Jacobi equation and its generalizations: Part 2
✍ Ya.V. Mykytiuk; A.K. Prykarpatsky; D. Blackmore 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 232 KB

It is proved that the function deÿned by the inÿmum-based Lax formula (for viscosity solutions) provides a solution almost everywhere in x for each ÿxed t ¿ 0 to the Hamilton-Jacobi, Cauchy problem ut + 1 2 ∇u 2 = 0; u(x; 0 + ) = v(x); where the Cauchy data function v is lower semicontinuous on rea