On the Existence and Uniqueness of Solutions to an Asymptotic Equation of a Variational Wave Equation

Ping Zhang, Yuxi Zheng

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

We prove the global existence and uniqueness of admissible weak solutions to an asymptotic equation of a nonlinear hyperbolic variational wave equation with nonnegative L2(ℝ) initial data.

Original languageEnglish (US)
Pages (from-to)115-130
Number of pages16
JournalActa Mathematica Sinica, English Series
Volume15
Issue number1
StatePublished - Dec 1 1999

Fingerprint

Variational Equation
Wave equations
Existence and Uniqueness of Solutions
Global Existence
Weak Solution
Wave equation
Existence and Uniqueness
Non-negative

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

@article{cf85f90522074edc9c69ec0f4ad61fc5,
title = "On the Existence and Uniqueness of Solutions to an Asymptotic Equation of a Variational Wave Equation",
abstract = "We prove the global existence and uniqueness of admissible weak solutions to an asymptotic equation of a nonlinear hyperbolic variational wave equation with nonnegative L2(ℝ) initial data.",
author = "Ping Zhang and Yuxi Zheng",
year = "1999",
month = "12",
day = "1",
language = "English (US)",
volume = "15",
pages = "115--130",
journal = "Acta Mathematica Sinica, English Series",
issn = "1439-8516",
publisher = "Springer Verlag",
number = "1",

}

On the Existence and Uniqueness of Solutions to an Asymptotic Equation of a Variational Wave Equation. / Zhang, Ping; Zheng, Yuxi.

In: Acta Mathematica Sinica, English Series, Vol. 15, No. 1, 01.12.1999, p. 115-130.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On the Existence and Uniqueness of Solutions to an Asymptotic Equation of a Variational Wave Equation

AU - Zhang, Ping

AU - Zheng, Yuxi

PY - 1999/12/1

Y1 - 1999/12/1

N2 - We prove the global existence and uniqueness of admissible weak solutions to an asymptotic equation of a nonlinear hyperbolic variational wave equation with nonnegative L2(ℝ) initial data.

AB - We prove the global existence and uniqueness of admissible weak solutions to an asymptotic equation of a nonlinear hyperbolic variational wave equation with nonnegative L2(ℝ) initial data.

UR - http://www.scopus.com/inward/record.url?scp=0000512953&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000512953&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000512953

VL - 15

SP - 115

EP - 130

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

SN - 1439-8516

IS - 1

ER -