Generalized dispersive equations of higher orders posed on bounded intervals: local theory

2018/12/10 by Luchesi, Jackson, Larkin, Nikolai A.
#35M20 #35Q72 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.04146

Abstract

Initial-boundary value problems for nonlinear dispersive equations of evolution of order 2l+1, l∈ℕ with a convective term of the form u^ku_x, k∈ℕ have been considered on intervals (0,L), L∈ (0,+∞). The existence and uniqueness of local regular solutions have been established.

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