Improvement of the parabolic regularization method and applications to dispersive models

dc.creator	Cunha, Alysson Tobias Ribeiro da
dc.date.accessioned	2025-12-30T12:44:00Z
dc.date.available	2025-12-30T12:44:00Z
dc.date.issued	2026
dc.description.abstract	We prove that the Benjamin–Ono equation is globally well-posed in for . Our approach does not rely on the global gauge transformation introduced by Tao (Tao, 2004). Instead, we employ a modified version of the standard parabolic regularization method. In particular, this technique also enables us to establish global well-posedness, in the same Sobolev space, for the dispersion-generalized Benjamin–Ono (DGBO) equation.
dc.identifier.citation	CUNHA, Alysson. Improvement of the parabolic regularization method and applications to dispersive models. Nonlinear Analysis, Amsterdam, v. 263, e113964, 2026. DOI: 10.1016/j.na.2025.113964. Disponível em: https://www.sciencedirect.com/science/article/pii/S0362546X25002160?dgcid=rss_sd_all. Acesso em: 8 dez. 2025.
dc.identifier.doi	10.1016/j.na.2025.113964
dc.identifier.issn	0362-546X
dc.identifier.issn	e- 1873-5215
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0362546X25002160?dgcid=rss_sd_all
dc.language.iso	eng
dc.publisher.country	Holanda
dc.publisher.department	Instituto de Matemática e Estatística - IME (RMG)
dc.rights	Acesso Restrito
dc.subject	BO equation
dc.subject	DGBO equationInitial-value problem
dc.subject	Well-posedness
dc.subject	Sobolev spaces
dc.title	Improvement of the parabolic regularization method and applications to dispersive models
dc.type	Artigo

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