Pith. sign in

REVIEW 1 cited by

Asymptotic decomposition for nonlinear damped Klein-Gordon equations

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1511.00437 v3 pith:L5BSF3BU submitted 2015-11-02 math.AP

Ze Li , Lifeng Zhao This is my paper · ORCID
classification math.AP
keywords dampedequationsequilibriumfiniteklein-gordonnumberpointsprofiles
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

In this paper, we proved that if the solution to damped focusing Klein-Gordon equations is global forward in time, then it will decouple into a finite number of equilibrium points with different shifts from the origin. The core ingredient of our proof is the existence of the "concentration-compact attractor" which yields a finite number of profiles. Using damping effect, we can prove all the profiles are equilibrium points.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Description and classification of 2-solitary waves for nonlinear damped Klein-Gordon equations

    math.AP 2019-08 accept novelty 8.0 of 10

    For the damped nonlinear Klein-Gordon equation, all 2-solitary waves have opposite signs, the distance between solitons is asymptotically log t, and the initial data form a codimension-2 Lipschitz manifold.

Pith tools