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On the lax solution to the Hamilton-Jacobi equation. Part I

✍ Scribed by A. K. Prykarpatsky; D. L. Blackmore

Book ID
110613610
Publisher
Springer US
Year
2000
Tongue
English
Weight
255 KB
Volume
99
Category
Article
ISSN
1573-8795

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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