Article ID Journal Published Year Pages File Type
4635605 Applied Mathematics and Computation 2007 10 Pages PDF
Abstract

We prove that firstly the existence of stationary solutions of the Pekar–Choquard system with the formequation(PCS)iϕ→t+Δϕ→+K(ϕ→)+|ϕ→|p-2ϕ→=0,secondly the solutions of Cauchy problem of (PCS) with initial data close to the stationary solution (in a suitable sense) must blow up at finite time; finally the standing wave relating to the stationary solution of (PCS) is strongly unstable in the sense of Definition 4.2.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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