Published October 31, 1999
| Version v1
Journal article
Periodic solutions of the Hamilton-Jacobi equation with a periodic non-homogeneous term and Aubry-Mather theory
Description
It is proved that the one-dimensional Hamilton-Jacobi equation with a periodic non-homogeneous term admits a family of generalized solutions, each of which can be represented as the sum of a linear and a periodic function; a condition for the uniqueness of such a solution is given in terms of Aubry-Mather theory
Availability note (English)
Available from http://dx.doi.org/10.1070/SM1999v190n10ABEH000435Additional details
Identifiers
Publishing Information
- Journal Title
- Sbornik. Mathematics
- Journal Volume
- 190
- Journal Issue
- 10
- Journal Page Range
- p. 1487-1504
- ISSN
- 1064-5616
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40073302
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FUNCTIONS; HAMILTON-JACOBI EQUATIONS; MATHEMATICAL SOLUTIONS; ONE-DIMENSIONAL CALCULATIONS; PERIODICITY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; VARIATIONS