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Sbornik: Mathematics, 1999, Volume 190, Issue 10, Pages 1487–1504
DOI: https://doi.org/10.1070/sm1999v190n10ABEH000435 (Mi sm435) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Periodic solutions of the Hamilton–Jacobi equation with a periodic non-homogeneous term and Aubry–Mather theory

A. N. Sobolevskii

M. V. Lomonosov Moscow State University
English version PDF (410 kB) Citations (11)
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DOI: https://doi.org/10.1070/sm1999v190n10ABEH000435
Abstract: 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.
Received: 18.02.1999
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 10, Pages 87–104
DOI: https://doi.org/10.4213/sm435
Bibliographic databases:
UDC: 517.957
MSC: Primary 35F20; Secondary 58F05
Language: English
Original paper language: Russian
Citation: A. N. Sobolevskii, “Periodic solutions of the Hamilton–Jacobi equation with a periodic non-homogeneous term and Aubry–Mather theory”, Mat. Sb., 190:10 (1999), 87–104; Sb. Math., 190:10 (1999), 1487–1504
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:9
    References:41
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