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Open AccessFeature PaperArticle

Well-Posedness Results for the Continuum Spectrum Pulse Equation

1
Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, via E. Orabona 4, 70125 Bari, Italy
2
Dipartimento di Matematica, Università di Bari, via E. Orabona 4, 70125 Bari, Italy
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1006; https://doi.org/10.3390/math7111006
Received: 25 September 2019 / Revised: 18 October 2019 / Accepted: 21 October 2019 / Published: 23 October 2019
(This article belongs to the Special Issue The Application of Mathematics to Physics and Nonlinear Science)
The continuum spectrum pulse equation is a third order nonlocal nonlinear evolutive equation related to the dynamics of the electrical field of linearly polarized continuum spectrum pulses in optical waveguides. In this paper, the well-posedness of the classical solutions to the Cauchy problem associated with this equation is proven. View Full-Text
Keywords: existence; uniqueness; stability; continuum spectrum pulse equation; Cauchy problem existence; uniqueness; stability; continuum spectrum pulse equation; Cauchy problem
MDPI and ACS Style

Coclite, G.M.; Ruvo, L. Well-Posedness Results for the Continuum Spectrum Pulse Equation. Mathematics 2019, 7, 1006.

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