Work

On Local Energy Decay for Solutions of the Dispersion Generalized Benjamin-Ono Equation

Year: 2026

Type: article

Abstract: We study the long-time behavior of large solutions to the dispersion generalized Benjamin-Ono equation. By means of virial identities, we identify spatial regions around the origin, growing unbounded in time, not containing the soliton region in which every solution belonging in a suitable Sobolev space, necessarily decays to zero along some sequence of times. A similar result is also obtained for solutions of Benjamin equation, a model for gravity-capillary surface waves of the solitary type on deep water.

Source: Journal of Dynamics and Differential Equations

DOI: 10.1007/s10884-026-10500-7

Author: Ailton C. Nascimento

Institution: Universidade Federal do Piauí

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Universidade Federal do Piauí