On the wave operator for the generalized Boussinesq equation
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- by Luiz Gustavo Farah and Lucas C. F. Ferreira PDF
- Proc. Amer. Math. Soc. 140 (2012), 3055-3066 Request permission
Abstract:
We study the asymptotic behavior of solutions for the generalized Boussinesq equation in a singular framework. We construct a wave operator (inverse scattering) for large profiles $\vec {h}$ belonging to an infinite mass framework based on weak $L^{p}$-spaces. Our solutions converge towards the prescribed scattering state with a polynomial rate.References
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Additional Information
- Luiz Gustavo Farah
- Affiliation: Departamento de Matemática, Universidade Federal de Minas Gerais, Caixa Postal 702, CEP 30161-970, Belo Horizonte-MG, Brazil
- MR Author ID: 831713
- Email: lgfarah@gmail.com
- Lucas C. F. Ferreira
- Affiliation: Departamento de Matemática, Universidade Estadual de Campinas, CEP 13083-859, Campinas-SP, Brazil
- MR Author ID: 795159
- Email: lcff@ime.unicamp.br
- Received by editor(s): October 1, 2010
- Received by editor(s) in revised form: March 16, 2011
- Published electronically: December 28, 2011
- Additional Notes: The first author was partially supported by FAPEMIG and CNPq, Brazil.
The second author was supported by CNPq and FAPESP, Brazil - Communicated by: Walter Craig
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 3055-3066
- MSC (2010): Primary 35Q35; Secondary 35B40, 35P25
- DOI: https://doi.org/10.1090/S0002-9939-2011-11131-6
- MathSciNet review: 2917079