SU\G(𝔸)/K·U

Long-time Existence for Systems of Quasilinear Wave Equations

Jason Metcalfe, Taylor Rhoads

Type: Article

Publication Date: 2023-01-24

Citations: 3

DOI: https://doi.org/10.1007/s44007-022-00036-9

Locations

Similar Works

Action Title Year Authors
+ Long-time existence for systems of quasilinear wave equations 2022 Jason Metcalfe
Taylor Rhoads
+ Almost global existence for semilinear wave equations with mixed nonlinearities in four space dimensions 2017 Chengbo Wang
Hao Zhou
+ Global existence for quasilinear wave equations satisfying the null condition 2022 Michael Facci
Jason Metcalfe
+ Global existence for quasilinear wave equations close to Schwarzschild 2016 Hans Lindblad
Mihai Tohaneanu
+ Global existence for quasilinear wave equations close to Schwarzschild 2016 Hans Lindblad
Mihai Tohaneanu
+ An rp-weighted local energy approach to global existence for null form semilinear wave equations 2024 Michael Facci
Alex McEntarrfer
Jason Metcalfe
+ PDF Chat Global existence for quasilinear wave equations close to Schwarzschild 2018 Hans Lindblad
Mihai Tohaneanu
+ PDF Chat Counterexamples to local existence for quasilinear wave equations 1998 Hans Lindblad
+ PDF Chat The sharp lifespan for a system of multiple speed wave equations: Radial case 2025 Marvin Koonce
Jason Metcalfe
+ Lower Bound of the Lifespan of the Solution to Systems of Quasi-linear Wave Equations with Multiple Propagation Speeds 2017 Akira Hoshiga
+ Global and almost global existence for general quasilinear wave equations in two space dimensions 2018 Dongbing Zha
+ Global well-posedness for a system of quasilinear wave equations on a product space 2021 CĂ©cile Huneau
Annalaura Stingo
+ PDF Chat Global well-posedness for a system of quasilinear wave equations on a product space 2024 CĂ©cile Huneau
Annalaura Stingo
+ On a System of Weakly Null Semilinear Equations 2022 Jason Metcalfe
Alexander Stewart
+ Quasilinear equations with natural growth in the gradients in spaces of Sobolev multipliers 2018 Karthik Adimurthi
Nguyen Cong Phuc
+ Quasilinear equations with natural growth in the gradients in spaces of Sobolev multipliers 2018 Karthik Adimurthi
Nguyen Cong Phuc
+ Almost global existence for quasilinear wave equations in three space dimensions 2003 M. Keel
Hart F. Smith
Christopher D. Sogge
+ PDF Chat Weighted Strichartz estimates and global existence for semilinear wave equations 1997 Vladimir Georgiev
Hans Lindblad
Christopher D. Sogge
+ Global solutions of quasilinear wave equations 2005 Hans Lindblad
+ Finite time blowup for high dimensional nonlinear wave systems with bounded smooth nonlinearity 2016 Terence Tao

Works That Cite This (3)

Action Title Year Authors
+ On a system of weakly null semilinear wave equations 2022 Jason Metcalfe
Alexander Stewart
+ On the global well-posedness and scattering of the 3D Klein–Gordon–Zakharov system 2023 Xinyu Cheng
Jiao Xu
+ PDF Chat A uniqueness theorem for 3D semilinear wave equations satisfying the null condition 2023 Dongxiao Yu

Works Cited by This (22)

Action Title Year Authors
+ On the Fully Non-Linear Cauchy Problem with Small Data. II. 1991 Lars Hörmander
+ PDF Chat Decay Estimates for Variable Coefficient Wave Equations in Exterior Domains 2009 Jason Metcalfe
Daniel Tataru
+ On almost global existence for nonrelativistic wave equations in 3D 1996 SergiĂą Klainerman
Thomas C. Sideris
+ The null condition for quasilinear wave equations in two space dimensions I 2001 Serge Alinhac
+ On the lifespan of solutions of nonlinear wave equations with small initial data 1990 Hans Lindblad
+ Uniform decay estimates and the lorentz invariance of the classical wave equation 1985 SergiĂą Klainerman
+ Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods 2006 Jason Metcalfe
Christopher D. Sogge
+ Price’s law on nonstationary space–times 2012 Jason Metcalfe
Daniel Tataru
Mihai Tohaneanu
+ PDF Chat Global parametrices and dispersive estimates for variable coefficient wave equations 2011 Jason Metcalfe
Daniel Tataru
+ PDF Chat Local decay of waves on asymptotically flat stationary space-times 2013 Daniel Tataru