Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions
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DOI: 10.1186/s13661-017-0773-1
Abstract: AbstractWe consider the quasilinear wave equation utt−△ut−div(|∇u|α−2∇u)−div(|∇ut|β−2∇ut)+a|ut|m−2ut=b|u|p−2u$$u_{tt} -\triangle u_{t} -\operatorname{div}\bigl(\vert \nabla u\vert ^{\alpha-2} \nabla u\bigr) - \operatorname{div}\bigl(\vert \nabla u_{t}\vert ^{\beta-2} \nabla u_{t} \bigr) +a \vert u_{t}\vert ^{m-2} u_{t} =b|u|^{p-2} u $$a,b>0$a,b>0$, associated with initial and… read more here.
Keywords: quasilinear wave; global nonexistence; boundary conditions; acoustic boundary ... See more keywords