Name
Abstract | ||
|---|---|---|
This paper is concerned with the standing waves for nonlinear Klein-Gordon equations with nonnegative potentials. First, the existence of standing waves associated with the ground states is obtained by using variational calculus as well as a compactness lemma. Next, a series of sharp conditions for global existence of nonlinear Klein-Gordon equations with nonnegative potentials are established in terms of the characteristics of the ground state and the local theory. Then, that how small the initial data are, the global solutions exist is given. Finally, the instability of standing wave is shown by combining those results. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.amc.2004.07.003 | Applied Mathematics and Computation |
Keywords | Field | DocType |
standing wave,nonlinear klein-gordon equation,nonlinear klein–gordon equation,blowup,global existence,initial data,nonnegative potential,sharp condition,ground state,local theory,global solution,compactness lemma,instability,variational calculus | Klein–Gordon equation,Nonlinear system,Ground state,Mathematical physics,Mathematical analysis,Calculus of variations,Standing wave,Compact space,Wave equation,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
166 | 3 | Applied Mathematics and Computation |
Citations | PageRank | References |
1 | 0.63 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zaihui Gan | 1 | 1 | 0.63 |
| Jian Zhang | 2 | 6 | 4.96 |