𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Lax Solution to the Hamilton–Jacobi Equation and Its Generalizations. Part II

✍ Scribed by A. K. Prykarpatsky; D. L. Blackmore; Ya. V. Mykytyuk

Book ID
110299875
Publisher
Springer US
Year
2001
Tongue
English
Weight
129 KB
Volume
104
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.

📜 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