Two-Gap Two-Elliptic Solution of Boussinesq Equation
β Scribed by Evgeniy Gennadievich Amosenok; Aleksandr Olegovich Smirnov
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 691 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0377-9017
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π SIMILAR VOLUMES
In this article, we study the Cauchy problem of generalized Boussinesq equations. We prove the local existence in time in Sobolev and weighted Sobolev space through Fourier transforms. Then our main result is to prove that the supremum Ε½ . norm of the solution n, Β¨with sufficiently small and regular
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 \(\theta\)