Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle

Schippa R (2020)
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 196: 111777.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
New local well-posedness results for dispersion generalized Benjamin-Ono equations are proved in the periodic case. The family of equations under consideration links the Benjamin-Ono and Korteweg-de Vries equation. For sufficiently strong dispersion global well-posedness in L-2(T) is derived. (C) 2020 Elsevier Ltd. All rights reserved.
Stichworte
Dispersive equations; Benjamin-Ono equation; Short-time Fourier; restriction norm method; Modified energies
Erscheinungsjahr
2020
Zeitschriftentitel
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Band
196
Art.-Nr.
111777
ISSN
0362-546X
eISSN
1873-5215
Page URI
https://pub.uni-bielefeld.de/record/2943294

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Schippa R. Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 2020;196: 111777.
Schippa, R. (2020). Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 196, 111777. doi:10.1016/j.na.2020.111777
Schippa, R. (2020). Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 196:111777.
Schippa, R., 2020. Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 196: 111777.
R. Schippa, “Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle”, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol. 196, 2020, : 111777.
Schippa, R.: Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 196, : 111777 (2020).
Schippa, Robert. “Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle”. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 196 (2020): 111777.