Existence and continuity of global attractors and nonhomogeneous equilibria for a class of evolution equations with non local terms
✍ Scribed by Flank D.M. Bezerra; Antônio L. Pereira; Severino H. da Silva
- Book ID
- 119299377
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 244 KB
- Volume
- 396
- Category
- Article
- ISSN
- 0022-247X
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## Abstract In this paper we consider the non‐linear wave equation __a,b__>0, associated with initial and Dirichlet boundary conditions. We prove, under suitable conditions on __α,β,m,p__ and for negative initial energy, a global non‐existence theorem. This improves a result by Yang (__Math. Meth
This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation The paper proves that every above-mentioned problem has a unique global solution under rather mild con"ning conditions, and arrives at some su$cient con