Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions
Abstract We consider the quasilinear wave equation u t t − △ u t − div ( | ∇ u | α − 2 ∇ u ) − div ( | ∇ u t | β − 2 ∇ u t ) + a | u t | m − 2 u t = b | u | p − 2 u $$u_{tt} -\triangle u_{t} -\operatorname{div}\bigl(\vert \nabla u\vert ^{\alpha-2} \nabla u\bigr) - \operatorname{div}\bigl(\vert \nabl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-03-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0773-1 |