Absence of self-similar blow-up and local well-posedness for the constant mean-curvature wave equation

Sagun Chanillo; Po Lam Yung

doi:10.1016/j.jfa.2015.01.021

Absence of self-similar blow-up and local well-posedness for the constant mean-curvature wave equation

Sagun Chanillo, Po Lam Yung^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this note, we consider the constant-mean-curvature wave equation in (1. +. 2)-dimensions. We show that it does not admit any self-similar blow-up. We also remark that the equation is locally well-posed for initial data in H^3/2.

Original language	English
Pages (from-to)	1180-1202
Number of pages	23
Journal	Journal of Functional Analysis
Volume	269
Issue number	4
DOIs	https://doi.org/10.1016/j.jfa.2015.01.021
Publication status	Published - 15 Aug 2015
Externally published	Yes

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title = "Absence of self-similar blow-up and local well-posedness for the constant mean-curvature wave equation",

abstract = "In this note, we consider the constant-mean-curvature wave equation in (1. +. 2)-dimensions. We show that it does not admit any self-similar blow-up. We also remark that the equation is locally well-posed for initial data in H3/2.",

keywords = "Local well-posedness, Self-similar blow-up, Wave constant mean curvature equation",

author = "Sagun Chanillo and Yung, {Po Lam}",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

month = aug,

day = "15",

doi = "10.1016/j.jfa.2015.01.021",

language = "English",

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journal = "Journal of Functional Analysis",

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T1 - Absence of self-similar blow-up and local well-posedness for the constant mean-curvature wave equation

AU - Chanillo, Sagun

AU - Yung, Po Lam

PY - 2015/8/15

Y1 - 2015/8/15

N2 - In this note, we consider the constant-mean-curvature wave equation in (1. +. 2)-dimensions. We show that it does not admit any self-similar blow-up. We also remark that the equation is locally well-posed for initial data in H3/2.

AB - In this note, we consider the constant-mean-curvature wave equation in (1. +. 2)-dimensions. We show that it does not admit any self-similar blow-up. We also remark that the equation is locally well-posed for initial data in H3/2.

KW - Local well-posedness

KW - Self-similar blow-up

KW - Wave constant mean curvature equation

UR - http://www.scopus.com/inward/record.url?scp=84930475250&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2015.01.021

DO - 10.1016/j.jfa.2015.01.021

M3 - Article

AN - SCOPUS:84930475250

SN - 0022-1236

VL - 269

SP - 1180

EP - 1202

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 4

ER -

Absence of self-similar blow-up and local well-posedness for the constant mean-curvature wave equation

Abstract

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