Orbital stability of semitrivial standing waves for the Klein-Gordon-Schrödinger system |
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| Authors: | Hiroaki Kikuchi |
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| Institution: | Department of Mathematics, Hokkaido University, Kita 10, Nishi 8, Kita-ku, Sapporo 060-0810, Japan |
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| Abstract: | In the present paper, we study the orbital stability and instability of standing waves of the Klein-Gordon-Schrödinger system. Especially, we are interested in a standing wave which is expressed by the unique positive solution w1 to a certain scalar field equation. By utilizing the property of the positive solution w1, we can apply the general theory of Grillakis, Shatah and Strauss (1987) 11] and show the stability and instability of the standing wave. |
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