Lack of integrability via viscosity solution methods

Diogo A. Gomes*, Enrico Valdinoci

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


In this paper we use viscosity solution methods to show that almost integrable Hamiltonian systems are not smoothly integrable at rotation numbers which are exponentially close to resonances.

Original languageEnglish (US)
Pages (from-to)1055-1071
Number of pages17
JournalIndiana University Mathematics Journal
Issue number4
StatePublished - 2004
Externally publishedYes


  • Action estimates
  • Converse KAM theory
  • Hamilton-Jacobi equation
  • Periodic orbits

ASJC Scopus subject areas

  • General Mathematics


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