Scattering for critical wave equations with variable coefficients

Shi Zhuo Looi; Mihai Tohaneanu

doi:10.1017/S0013091521000158

Scattering for critical wave equations with variable coefficients

Shi Zhuo Looi
, Mihai Tohaneanu

Mathematics

Producción científica: Article › revisión exhaustiva

2 Citas (Scopus)

Resumen

We prove that solutions to the quintic semilinear wave equation with variable coefficients in scatter to a solution to the corresponding linear wave equation. The coefficients are small and decay as, but are allowed to be time dependent. The proof uses local energy decay estimates to establish the decay of the norm of the solution as.

Idioma original	English
Páginas (desde-hasta)	298-316
Número de páginas	19
Publicación	Proceedings of the Edinburgh Mathematical Society
Volumen	64
N.º	2
DOI	https://doi.org/10.1017/S0013091521000158
Estado	Published - may 2021

Nota bibliográfica

Publisher Copyright:
Copyright © The Author(s), 2021. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.

ASJC Scopus subject areas

General Mathematics

Acceder al documento

10.1017/S0013091521000158

Otros archivos y enlaces

Citar esto

@article{151bf4de90fd45aea618b2f90df24665,

title = "Scattering for critical wave equations with variable coefficients",

abstract = "We prove that solutions to the quintic semilinear wave equation with variable coefficients in scatter to a solution to the corresponding linear wave equation. The coefficients are small and decay as, but are allowed to be time dependent. The proof uses local energy decay estimates to establish the decay of the norm of the solution as.",

keywords = "defocusing, hyperbolic equation, nonlinear wave equation, power-type non-linearity, power-type nonlinearity, scattering, semilinear wave equations, variable coefficients",

author = "Looi, \{Shi Zhuo\} and Mihai Tohaneanu",

note = "Publisher Copyright: Copyright {\textcopyright} The Author(s), 2021. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.",

year = "2021",

month = may,

doi = "10.1017/S0013091521000158",

language = "English",

volume = "64",

pages = "298--316",

number = "2",

}

TY - JOUR

T1 - Scattering for critical wave equations with variable coefficients

AU - Looi, Shi Zhuo

AU - Tohaneanu, Mihai

PY - 2021/5

Y1 - 2021/5

N2 - We prove that solutions to the quintic semilinear wave equation with variable coefficients in scatter to a solution to the corresponding linear wave equation. The coefficients are small and decay as, but are allowed to be time dependent. The proof uses local energy decay estimates to establish the decay of the norm of the solution as.

AB - We prove that solutions to the quintic semilinear wave equation with variable coefficients in scatter to a solution to the corresponding linear wave equation. The coefficients are small and decay as, but are allowed to be time dependent. The proof uses local energy decay estimates to establish the decay of the norm of the solution as.

KW - defocusing

KW - hyperbolic equation

KW - nonlinear wave equation

KW - power-type non-linearity

KW - power-type nonlinearity

KW - scattering

KW - semilinear wave equations

KW - variable coefficients

UR - https://www.scopus.com/pages/publications/85105173492

UR - https://www.scopus.com/pages/publications/85105173492#tab=citedBy

U2 - 10.1017/S0013091521000158

DO - 10.1017/S0013091521000158

M3 - Article

AN - SCOPUS:85105173492

SN - 0013-0915

VL - 64

SP - 298

EP - 316

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 2

ER -

Scattering for critical wave equations with variable coefficients

Resumen

Nota bibliográfica

ASJC Scopus subject areas

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto