Blow-up rate of sign-changing solutions to nonlinear parabolic systems in domains. (September 2022)

• Record Type: Journal Article
• Authors: Zhanpeisov, Erbol
• Is Part Of: Nonlinear analysis. Volume 222(2022)
• Publication Date: 2022-09
• Subjects: 35K55 -- 35B40 -- 35K45; Nonlinear parabolic systems -- Blow-up rate -- Rescaled solution; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.112975
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We present a blow-up rate estimate for a solution to the parabolic Gross–Pitaevskii and related systems on a convex domain with Sobolev subcritical nonlinearity. We also obtain a blow-up rate estimate on a nonconvex domain under additional assumptions.