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On small energy stabilization in the NLKG with a trapping potential

We consider a nonlinear Klein Gordon equation (NLKG) with short range potential with eigenvalues and show that in the contest of complex valued solutions the small standing waves are attractors for small solutions of the NLKG. This extends the results already known for the nonlinear Schrödinger equation and for the nonlinear Dirac equation. In addition, this extends a result of Bambusi and Cuccagna (which in turn was an extension of a result by Soffer and Weinstein) which considered only real valued solutions of the NLKG.

preprint2015arXivOpen access
Scipio CuccagnaMasaya MaedaTuoc V. Phan
math.AP
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Open access3 authors1 topic
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Scipio CuccagnaMasaya MaedaTuoc V. Phan

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