A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations

Type: Article

Publication Date: 1993-11-01

Citations: 139

DOI: https://doi.org/10.1215/s0012-7094-93-07219-5

Locations

  • Duke Mathematical Journal - View

Similar Works

Action Title Year Authors
+ A sharp counterexample to local existence of low regularity solutions to Einstein equations in wave coordinates 2016 Boris Ettinger
Hans Lindblad
+ Global existence of low regularity solutions of non-linear wave equations 1995 Vladimir Georgiev
Pedro Paulo Schirmer
+ Low-regularity global well-posedness for the nonlinear wave equation 2019 Daniel Oliveira da Silva
Alejandro Castro Castilla
+ Counterexamples to local existence for nonlinear wave equations 1994 Hans Lindblad
+ Low regularity solutions of nonlinear wave equations 2004 Dominic Gibbeson
+ PDF Chat Low regularity solutions for a class of nonlinear wave equations 2005 Nikolaos Bournaveas
+ PDF Chat Counterexamples to local existence for quasilinear wave equations 1998 Hans Lindblad
+ Global existence and blow-up phenomena for a nonlinear wave equation 2009 Jianghao Hao
Yajing Zhang
Shengjia Li
+ Global solutions to systems of quasilinear wave equations with low regularity data and applications 2020 Dongbing Zha
Kunio Hidano
+ Nonexistence of global solutions to nonlinear wave equations 2008 Varga Κ. Kalantarov
+ Low-regularity global solutions to nonlinear dispersive equations 2002 Terence Tao
+ Global existence and blowup of solutions for a class of nonlinear higher-order wave equations 2011 Jun Zhou
Xiongrui Wang
Xiaojun Song
Chunlai Mu
+ The Regularity Properties and Blow-up of Solutions for Nonlocal Wave Equations and Applications 2022 Veli Shakhmurov
Rishad Shahmurov
+ Nonexistence of global solutions of nonlinear wave equations. 2001 R. Eloulaimi
M. Guedda
+ PDF Chat Counterexample to Global Existence for Systems of Nonlinear Wave Equations with Different Propagation Speeds 2003 Masahito Ohta
+ Low-regularity global well-posedness for the nonlinear wave equation 2019 Daniel Oliveira da Silva
Alejandro J. Castro
+ Global regularity for nonlinear wave equations 2000 Theresa A. Strei
+ Local regularity of non$B!>(Bresonant nonlinear wave equations 1996 Kimitoshi Tsutaya
+ Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order 2010 Yu‐Zhu Wang
Yin-Xia Wang
+ PDF Chat Existence of global solutions for nonlinear wave equations 1982 Yoshiki Niwa