Blow up of solutions to the initial boundary value problem for quasilinear strongly damped wave equations
✍ Scribed by Bilgin, Bilgesu A.; Kalantarov, Varga K.
- Book ID
- 121322012
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 384 KB
- Volume
- 403
- Category
- Article
- ISSN
- 0022-247X
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## Abstract The paper studies the existence, asymptotic behaviour and stability of global solutions to the initial boundary value problem for a class of strongly damped non‐linear wave equations. By a H00.5ptk‐Galerkin approximation scheme, it proves that the above‐mentioned problem admits a unique
This paper gives the sufficient conditions of blow-up of the solution of a nonlinear damped hyperbolic equation with the initial boundary wlue conditions in finite time and proves the existence and uniqueness of the local generalized solution of this problem.