Initial-Boundary Value Problems for Nonlinear Dispersive Equations of Higher Orders Posed on Bounded Intervals with General Boundary Conditions

Nikolai A. Larkin and Jackson Luchesi
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Nikolai A. Larkin: Departamento de Matemática, Universidade Estadual de Maringá, Av. Colombo 5790: Agência UEM, Maringá, PR 87020-900, Brazil
Jackson Luchesi: Departamento de Matemática, Universidade Tecnológica Federal do Paraná—Câmpus Pato Branco, Via do Conhecimento Km 1, Pato Branco, PR 85503-390, Brazil

Mathematics, 2021, vol. 9, issue 2, 1-17

Abstract: The present article concerns general mixed problems for nonlinear dispersive equations of any odd-orders posed on bounded intervals. The results on existence, uniqueness and exponential decay of solutions are presented.

Keywords: higher-order dispersive equation; general boundary condition; global solution; exponential decay; bounded domain (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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