Local well-posedness in Besov spaces for the fifth-order Fokas–Olver–Rosenau–Qiao equation
Abstract
We study the Cauchy problem for the fifth-order Fokas–Olver–Rosenau–Qiao equation using Friedrichs' regularization method. Our approach involves constructing a sequence of smooth approximate solutions, establishing uniform a priori estimates, and demonstrating that this sequence forms a Cauchy sequence in the space C((0,T);Bp,rs−1(R)). Finally, we prove the local well-posedness in Besov space Bp,rs(R) with s>max{3+1p,72} and (p,r)∈[1,∞].
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Stability and Controllability of Differential Equations
Navier-Stokes equation solutions
Publication details
- Journal / source
- Applicable Analysis
- Volume
- 105
- Issue
- 14
- Pages
- 3237–3252
- Publication date
- 13 March 2026
- Language
- EN