Global Small Amplitude Solutions of Nonlinear Hyperbolic Systems with a Critical Exponent under the Null Condition
From MaRDI portal
Publication:4943690
DOI10.1137/S0036141097326064zbMath0947.35088OpenAlexW2030742029MaRDI QIDQ4943690
Publication date: 19 March 2000
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036141097326064
Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45) Higher-order hyperbolic systems (35L55) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (16)
Global existence for a model of inhomogeneous incompressible elastodynamics in 2D ⋮ An elementary proof of global or almost global existence for quasi-linear wave equations ⋮ Long time existence for two-dimension elastic waves ⋮ Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions ⋮ On global small amplitude solutions to systems of cubic nonlinear Klein--Gordon equations with different mass terms in one space dimension ⋮ Remarks on weaker null conditions for two kinds of systems of semilinear wave equations in three space dimensions ⋮ Uniform bound of Sobolev norms of solutions to 3D nonlinear wave equations with null condition ⋮ Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions ⋮ Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions ⋮ The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model ⋮ Global existence for systems of wave equations with nonresonant nonlinearities and null forms ⋮ Global existence of null-form wave equations on small asymptotically Euclidean manifolds ⋮ Small data blowup for systems of semilinear wave equations with different propagation speeds in three space dimensions ⋮ Systems of semilinear wave equations with multiple speeds in two space dimensions and a weaker null condition ⋮ Uniform bound of the highest energy for the three dimensional incompressible elastodynamics ⋮ Global Well-Posedness of Incompressible Elastodynamics in Three-Dimensional Thin Domain
This page was built for publication: Global Small Amplitude Solutions of Nonlinear Hyperbolic Systems with a Critical Exponent under the Null Condition