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arXiv · 1311.2856

The heteroclinic connection problem for general double-well potentials

Christos Sourdis
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Abstract

By variational methods, we provide a simple proof of existence of a heteroclinic orbit to the Hamiltonian system $u''=\nabla W(u)$ that connects the two global minima of a double-well potential $W$. Moreover, we consider several inhomogeneous extensions.

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Christos Sourdis. 2016-07-18. The heteroclinic connection problem for general double-well potentials. https://doi.org/10.1007/s00009-016-0770-0

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