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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.52 (2020), 1st and 2nd Issue
  6. A note on a class of double well potential problems
 
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A note on a class of double well potential problems

Montecchiari, Piero
•
Rabinowitz, Paul H.
2020
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ISSN
0049-4704
DOI
10.13137/2464-8728/30912
http://hdl.handle.net/10077/30912
  • Article

e-ISSN
2464-8728
Abstract
It is well known that under appropriate conditions on a double well potential, the associated Hamiltonian system possesses a pair of heteroclinic solutions joining the minima of the potential in addition to in nitely many other homoclinics and heteroclinics that oscillate between these minima. This paper studies the effect on such solutions of replacing the temporal domain, R, by a nite but long time interval.
Journal
Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics 
Subjects
  • double well potential...

  • variational methods

  • nondegeneracy conditi...

  • heteroclitic solution...

  • homoclinic solutions

  • multitransition solut...

Publisher
EUT Edizioni Università di Trieste
Source
Piero Montecchiari and Paul H. Rabinowitz, "A note on a class of double well potential problems" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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