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4. A note on a class of double well potential problems

Author

Montecchiari, Piero and Rabinowitz, Paul H.

Subjects
nondegeneracy condition, homoclinic solutions, multitransition solutions, 35J47, double well potential, variational methods, 35J57, 34C37, heteroclitic solutions, 35J50
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.

Published
2020

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