On the convergence of the mKdV linearization transform in asymptotic spaces

Permanent URL: http://hdl.handle.net/2047/D20194505
Title:
On the convergence of the mKdV linearization transform in asymptotic spaces
Creator:
Kacaku, Floran (Author)
Contributor:
Topalov, Petar (Advisor)
Topalov, Petar (Committee member)
McOwen, Robert (Committee member)
Todorov, Gordana (Committee member)
Previato, Emma (Committee member)
Language:
English
Publisher:
Boston, Massachusetts : Northeastern University, 2015
Date Accepted:
August 2015
Date Awarded:
August 2015
Type of resource:
Text
Genre:
Dissertations
Format:
electronic
Digital origin:
born digital
Abstract/Description:
We prove that the modified KdV linearization transform on the line is a local diffeomorphism in an open neighborhood of zero for a class of asymptotic spaces. A function belongs to an asymptotic space of the considered class if it allows a partial asymptotic expansion at infinity. This result is related to the well-posedness of the mKdV equation in asymptotic spaces.
Subjects and keywords:
asymptotic spaces
linearization transform
mKdV
Poincare normal forms
Differential equations -- Asymptotic theory
Asymptotic expansions
Korteweg-de Vries equation
Convergence
Normal forms (Mathematics)
Sobolev spaces
Diffeomorphisms
DOI:
https://doi.org/10.17760/D20194505
Permanent Link:
http://hdl.handle.net/2047/D20194505
Use and reproduction:
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