Lifespan of solutions of semilinear wave equations in two space dimensions
β Scribed by Godin, Paul
- Book ID
- 120710784
- Publisher
- Taylor and Francis Group
- Year
- 1993
- Tongue
- English
- Weight
- 959 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0360-5302
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π SIMILAR VOLUMES
## Abstract In this paper, both the direct method and the nonβclassical Lie approach are applied to reduce the (2 + 1)βdimensional dispersive long wave equations. Nine types of twoβdimensional PDE reductions and 13 types of ODE reductions are given. All the known reductions obtained by the classica
We establish existence of an infinite family of exponentially-decaying non-radial \(C^{2}\) solutions to the equation \(\Delta u+f(u)=0\) on \(\mathbb{R}^{2}\) for a large class of nonlinearities \(f\). These solutions have the form \(u(r, \theta)=e^{\text {imit }} u(r)\), where \(r\) and \(\theta\)