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Conditional stability theorem for the one dimensional Klein-Gordon equation
dc.contributor.author | Demirkaya, Aslihan | |
dc.contributor.author | Stanislavova, Milena | |
dc.date.accessioned | 2015-03-24T19:45:30Z | |
dc.date.available | 2015-03-24T19:45:30Z | |
dc.date.issued | 2011-10-24 | |
dc.identifier.citation | Demirkaya, Asihan & Stanslavova, Milena. "Conditional stability theorem for the one dimensional Klein-Gordon equation." J. Math. Phys. 52, 112703 (2011); http://dx.doi.org/10.1063/1.3660780. | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/17206 | |
dc.description | This is the published version, also available here: http://dx.doi.org/10.1063/1.3660780. | en_US |
dc.description.abstract | The paper addresses the conditional non-linear stability of the steady state solutions of the one-dimensional Klein-Gordon equation for large time. We explicitly construct the center-stable manifold for the steady state solutions using the modulation method of Soffer and Weinstein and Strichartz type estimates. The main difficulty in the one-dimensional case is that the required decay of the Klein-Gordon semigroup does not follow from Strichartz estimates alone. We resolve this issue by proving an additional weighted decay estimate and further refinement of the function spaces, which allows us to close the argument in spaces with very little time decay. | en_US |
dc.publisher | American Institute of Physics | en_US |
dc.subject | Manifolds | en_US |
dc.subject | Inequalities | en_US |
dc.subject | Eigenvalues | en_US |
dc.subject | Real functions | en_US |
dc.subject | Fourier Transforms | en_US |
dc.title | Conditional stability theorem for the one dimensional Klein-Gordon equation | en_US |
dc.type | Article | |
kusw.kuauthor | Stanislavova, Milena | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.1063/1.3660780 | |
kusw.oaversion | Scholarly/refereed, publisher version | |
kusw.oapolicy | This item meets KU Open Access policy criteria. | |
dc.rights.accessrights | openAccess |