Weighted Strichartz estimates and global existence for semilinear wave equations

Vladimir Simeonov Gueorguiev, Hans Lindblad, Christopher D. Sogge

Research output: Contribution to journalArticle

150 Citations (Scopus)

Abstract

In this paper we prove a sharp global existence theorem in all dimensions for nonlinear wave equations with power-type nonlinearities. The proof is based on a weighted Strichartz estimate involving powers of the Lorentz distance.

Original languageEnglish
Pages (from-to)1291-1319
Number of pages29
JournalAmerican Journal of Mathematics
Volume119
Issue number6
Publication statusPublished - 1997 Dec
Externally publishedYes

Fingerprint

Strichartz Estimates
Weighted Estimates
Semilinear Wave Equation
Nonlinear Wave Equation
Existence Theorem
Global Existence
Nonlinearity

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Weighted Strichartz estimates and global existence for semilinear wave equations. / Gueorguiev, Vladimir Simeonov; Lindblad, Hans; Sogge, Christopher D.

In: American Journal of Mathematics, Vol. 119, No. 6, 12.1997, p. 1291-1319.

Research output: Contribution to journalArticle

@article{054834fa8c53401b9ef2c6fa15980ba8,
title = "Weighted Strichartz estimates and global existence for semilinear wave equations",
abstract = "In this paper we prove a sharp global existence theorem in all dimensions for nonlinear wave equations with power-type nonlinearities. The proof is based on a weighted Strichartz estimate involving powers of the Lorentz distance.",
author = "Gueorguiev, {Vladimir Simeonov} and Hans Lindblad and Sogge, {Christopher D.}",
year = "1997",
month = "12",
language = "English",
volume = "119",
pages = "1291--1319",
journal = "American Journal of Mathematics",
issn = "0002-9327",
publisher = "Johns Hopkins University Press",
number = "6",

}

TY - JOUR

T1 - Weighted Strichartz estimates and global existence for semilinear wave equations

AU - Gueorguiev, Vladimir Simeonov

AU - Lindblad, Hans

AU - Sogge, Christopher D.

PY - 1997/12

Y1 - 1997/12

N2 - In this paper we prove a sharp global existence theorem in all dimensions for nonlinear wave equations with power-type nonlinearities. The proof is based on a weighted Strichartz estimate involving powers of the Lorentz distance.

AB - In this paper we prove a sharp global existence theorem in all dimensions for nonlinear wave equations with power-type nonlinearities. The proof is based on a weighted Strichartz estimate involving powers of the Lorentz distance.

UR - http://www.scopus.com/inward/record.url?scp=0001726448&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001726448&partnerID=8YFLogxK

M3 - Article

VL - 119

SP - 1291

EP - 1319

JO - American Journal of Mathematics

JF - American Journal of Mathematics

SN - 0002-9327

IS - 6

ER -