Minimax Theory and its Applications 06 (2021), No. 2, 295--310
Copyright Heldermann Verlag 2021
A Non-Local Regularization of the Short Pulse Equation
Giuseppe Maria Coclite
Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, 70125 Bari, Italy
giuseppemaria.coclite@poliba.it
Lorenzo Di Ruvo
Dipartimento di Matematica, Universita di Bari, 70125 Bari, Italy
lorenzo.diruvo77@gmail.com
The short pulse equation provides a model for the propagation of ultra-short light pulses in silica optical fibers. In this paper, we consider a nonlocal regularization of that equation and prove its well-posedness.
Keywords: Existence, uniqueness, stability, short pulse equation, non-local formulation, Cauchy problem.
MSC: 35G25, 35K55.
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