Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity
dc.contributor.author | Lastra, Alberto | |
dc.contributor.author | Malek, Stephane | |
dc.date.accessioned | 2022-01-07T18:05:30Z | |
dc.date.available | 2022-01-07T18:05:30Z | |
dc.date.issued | 2018-02-13 | |
dc.description.abstract | We study a singularly perturbed PDE with cubic nonlinearity depending on a complex perturbation parameter ε. This is a continuation of the precedent work [22] by the first author. We construct two families of sectorial meromorphic solutions obtained as a small perturbation in ε of two branches of an algebraic slow curve of the equation in time scale. We show that the nonsingular part of the solutions of each family shares a common formal power series in ε as Gevrey asymptotic expansion which might be different one to each other, in general. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 89 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Lastra, A., & Malek, S. (2018). Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity. Electronic Journal of Differential Equations, 2018(46), pp. 1-89. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15102 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Asymptotic expansion | |
dc.subject | Borel-Laplace transform | |
dc.subject | Fourier transform | |
dc.subject | Cauchy problem | |
dc.subject | Formal power series | |
dc.subject | Nonlinear integro-differential equation | |
dc.subject | Nonlinear partial differential equation | |
dc.subject | Singular perturbation | |
dc.title | Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity | en_US |
dc.type | Article |