Uniqueness of solutions to the Hamilton-Jacobi equation: a system theoretic proof
✍ Scribed by Richard Vinter
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 481 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0167-6911
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📜 SIMILAR VOLUMES
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
The problem of controlling the oscillations of a mathematical pendulum is considered. The overall control resource is subject to an integral constraint: the modulus of the control function to an arbitrary non-negative power (greater than or equal to unity) is a summable function over a specified tim