Document Type
Article - postprint
Department
Mathematics (HMC)
Publication Date
7-2009
Abstract
We prove that a boundary value problem for a semilinear wave equation with smooth nonlinearity, smooth forcing, and no resonance cannot have continuous solutions. Our proof shows that this is due to the non-monotonicity of the nonlinearity.
Rights Information
© 2009 American Institute of Mathematical Sciences
DOI
10.3934/dcds.2009.24.653
Recommended Citation
Caicedo, Jose F. and Alfonso Castro. “A semilinear wave equation with smooth data and no resonance having no continuous solution,” Continuous and Discrete Dynamical Systems, Series A, Vol. 24, No. 3 (2009), pp. 653-658.
Included in
Mathematics Commons, Ordinary Differential Equations and Applied Dynamics Commons, Partial Differential Equations Commons
Comments
Author's post-print manuscript available for download.
The article can also be found on the publisher's website at http://dx.doi.org/10.3934/dcds.2009.24.653