Well-Posedness Results for the Continuum Spectrum Pulse Equation

Giuseppe Maria Coclite and Lorenzo di Ruvo
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Giuseppe Maria Coclite: Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, via E. Orabona 4, 70125 Bari, Italy
Lorenzo di Ruvo: Dipartimento di Matematica, Università di Bari, via E. Orabona 4, 70125 Bari, Italy

Mathematics, 2019, vol. 7, issue 11, 1-39

Abstract: 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.

Keywords: existence; uniqueness; stability; continuum spectrum pulse equation; Cauchy problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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