Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6891747 | Computers & Mathematics with Applications | 2018 | 11 Pages |
Abstract
We consider a quasilinear wave equation uttââ³utâdiv(|âu|αâ2âu)âdiv(|âut|βâ2âut)+a|ut|mâ2ut+μ1ut(x,t)+μ2ut(x,tâÏ)=b|u|pâ2ua,b>0, associated with initial and Dirichlet boundary conditions at one part and acoustic boundary conditions at another part, respectively. We prove, under suitable conditions on α, β, m, p
and for negative initial energy, a global nonexistence of solutions.
Related Topics
Physical Sciences and Engineering
Computer Science
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Authors
Jin-Mun Jeong, Jong-Yeoul Park, Yong Han Kang,