Global existence and asymptotic behavior for some multidimensional quasilinear hyperbolic systems
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Publication:2202250
DOI10.1016/j.jde.2020.06.051zbMath1448.35328OpenAlexW3039556482MaRDI QIDQ2202250
Dongbing Zha, Weimin Peng, Yu-ming Qin
Publication date: 18 September 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.06.051
convergence ratesmall initial datalong-time behaviourquasilinear hyperbolic systems of diagonal form
Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)
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Cites Work
- The global stability of Minkowski space-time in harmonic gauge
- On one-dimension semi-linear wave equations with null conditions
- On one-dimension quasilinear wave equations with null conditions
- Remarks on energy approach for global existence of some one-dimension quasilinear hyperbolic systems
- Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension
- Global solutions of nonlinear hyperbolic equations for small initial data
- The null condition for quasilinear wave equations in two space dimensions. I
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