We prove nonexistence results for the Cauchy problem for the abstract hyperbolic equation in a Banach space X , where f : X → R is a C 1 -function. Several applications to the second-and higher-order hyperbolic equations with local and nonlocal nonlinearities are presented. We also describe an appr
✦ LIBER ✦
Hyperbolic manifolds, amalgamated products and critical exponents
✍ Scribed by Gérard Besson; Gilles Courtois; Sylvestre Gallot
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 95 KB
- Volume
- 336
- Category
- Article
- ISSN
- 1631-073X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Blow-up and critical exponents for nonli
✍
V.A. Galaktionov; S.I. Pohozaev
📂
Article
📅
2003
🏛
Elsevier Science
🌐
English
⚖ 159 KB
Critical exponents for semilinear equati
✍
Daniela Lupo; Kevin R. Payne
📂
Article
📅
2003
🏛
John Wiley and Sons
🌐
English
⚖ 222 KB
## Abstract For semilinear Gellerstedt equations with Tricomi, Goursat or Dirichlet boundary conditions we prove Pohozaev type identities and derive non existence results that exploit an invariance of the linear part with respect to certain nonhomogeneous dilations. A critical exponent phenomenon o