Global and almost global existence for general quasilinear wave equations in two space dimensions
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Publication:1726953
DOI10.1016/j.matpur.2018.05.009zbMath1411.35210OpenAlexW2808120394MaRDI QIDQ1726953
Publication date: 20 February 2019
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2018.05.009
Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)
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Cites Work
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- Remarks on nonlinear elastic waves in the radial symmetry in 2-D
- Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases
- Lectures on nonlinear hyperbolic differential equations
- Lifespan of regular solutions for axisymmetric compressible Euler equations in two dimensions
- Life-span of classical solutions to nonlinear wave equations in two space dimensions
- Global existence for systems of nonlinear wave equations in two space dimensions. II
- Global solutions of the evolutionary Faddeev model with small initial data
- LIFESPAN OF SOLUTIONS FOR TWO SPACE DIMENSIONAL WAVE EQUATIONS WITH CUBIC NONLINEARITY
- Almost global existence for 2-D incompressible isotropic elastodynamics
- Lifespan of solutions of semilinear wave equations in two space dimensions
- Almost global existence to nonlinear wave equations in three space dimensions
- Global solutions of nonlinear hyperbolic equations for small initial data
- Uniform decay estimates and the lorentz invariance of the classical wave equation
- Initial value problems for nonlinear wave equations
- Blow-up for quasi-linear wave equations in three space dimensions
- Life–span of classocal solutions to fully nonlinear wave equations
- Global existence for nonlinear wave equations
- Remarks on the global sobolev inequalities in the minkowski space Rn+1
- A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time
- A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions
- Nonlinear Wave Equations
- On the lifespan of solutions of nonlinear wave equations with small initial data
- The null condition for quasilinear wave equations in two space dimensions. I
