Semilinear hyperbolic systems violating the null condition

[1]  Chunhua Li,et al.  A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equations in 2D , 2013, Differential and Integral Equations.

[2]  Chunhua Li,et al.  Decay of solutions for a system of nonlinear Schrödinger equations in 2D , 2012 .

[3]  S. Katayama Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions , 2012, 1205.5944.

[4]  N. Hayashi,et al.  Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d , 2012 .

[5]  S. Katayama,et al.  A note on the null condition for quadratic nonlinear Klein‐Gordon systems in two space dimensions , 2011, 1105.1952.

[6]  N. Hayashi,et al.  On a system of nonlinear Schrödinger equations in 2d , 2011, Differential and Integral Equations.

[7]  Yuichiro Kawahara,et al.  Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance , 2011, 1104.1354.

[8]  S. Katayama Asymptotic pointwise behavior for systems of semilinear wave equations in three space dimensions , 2011, 1101.3657.

[9]  Christopher D. Sogge,et al.  Lectures on Non-Linear Wave Equations , 2008 .

[10]  Hans Lindblad Global Solutions of Quasilinear Wave Equations , 2005, math/0511461.

[11]  H. Kubo Asymptotic behavior of solutions to semilinear systems of wave equations , 2005 .

[12]  I. Rodnianski,et al.  The global stability of the Minkowski space-time in harmonic gauge , 2004, math/0411109.

[13]  Hideaki Sunagawa A note on the large time asymptotics for a system of Klein-Gordon equations , 2004 .

[14]  Jean-Marc Delort,et al.  Global existence of small solutions for quadratic quasilinear Klein–Gordon systems in two space dimensions , 2004 .

[15]  I. Rodnianski,et al.  Global Existence for the Einstein Vacuum Equations in Wave Coordinates , 2003, math/0312479.

[16]  Hans Lindblad,et al.  The weak null condition for Einstein's equations , 2003 .

[17]  L. Hörmander,et al.  Lectures on Nonlinear Hyperbolic Differential Equations , 1997 .

[18]  Hans Lindblad Global solutions of nonlinear wave equations , 1992 .

[19]  Hans Lindblad On the lifespan of solutions of nonlinear wave equations with small initial data , 1990 .

[20]  Demetrios Christodoulou,et al.  Global solutions of nonlinear hyperbolic equations for small initial data , 1986 .

[21]  S. Alinhac Semilinear hyperbolic systems with blowup at infinity , 2006 .