On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation

Giuseppe Maria Coclite () and Lorenzo Ruvo ()
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Giuseppe Maria Coclite: Politecnico di Bari
Lorenzo Ruvo: Università di Bari

Partial Differential Equations and Applications, 2022, vol. 3, issue 6, 1-40

Abstract: Abstract In this paper, we prove the well-posedness of the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation. Our arguments are based on energy estimates and passing to the limit in a vanishing viscosity approximation of the problem.

Keywords: Existence; Uniqueness; Stability; Short pulse equation; Non-local formulation; Initial-boundary value problem; 35G25; 35L65; 35L05 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-022-00208-w

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