Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity

Simple item page
dc.contributor.authorLastra, Alberto
dc.contributor.authorMalek, Stephane
dc.date.accessioned2022-01-07T18:05:30Z
dc.date.available2022-01-07T18:05:30Z
dc.date.issued2018-02-13
dc.description.abstractWe 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.departmentMathematics
dc.formatText
dc.format.extent89 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLastra, A., & Malek, S. (2018). Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity. <i>Electronic Journal of Differential Equations, 2018</i>(46), pp. 1-89.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15102
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectAsymptotic expansion
dc.subjectBorel-Laplace transform
dc.subjectFourier transform
dc.subjectCauchy problem
dc.subjectFormal power series
dc.subjectNonlinear integro-differential equation
dc.subjectNonlinear partial differential equation
dc.subjectSingular perturbation
dc.titleGevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearityen_US
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
lastra.pdf
Size:
703.51 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations