Remarks on weaker null conditions for two kinds of systems of semilinear wave equations in three space dimensions

DOI10.14492/hokmj/2022-637OpenAlexW4391824974MaRDI QIDQ6199842

Soichiro Katayama, Minggang Cheng

Publication date: 28 February 2024

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/hokkaido-mathematical-journal/volume-53/issue-1/Remarks-on-weaker-null-conditions-for-two-kinds-of-systems/10.14492/hokmj/2022-637.full

zbMATH Keywords

semilinear wave equationKlein-Gordon equationglobal existencenull conditionweak null conditionmultiple propagation speeds

Mathematics Subject Classification ID

Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Cites Work

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• Global existence for coupled Klein-Gordon equations with different speeds
• Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
• Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions
• The existence of the global solutions to semilinear wave equations with a class of cubic nonlinearities in 2-dimensional space
• Global existence and asymptotic behavior of solutions to systems of semilinear wave equations in two space dimensions
• Asymptotic behavior of solutions to semilinear wave equations with dissipative structure
• Global existence for systems of nonlinear wave equations in two space dimensions
• The weak null condition for Einstein's equations.
• Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions
• Global existence for systems of nonlinear wave and Klein-Gordon equations with compactly supported initial data
• Global solutions and the asymptotic behavior for nonlinear wave equations with small initial data
• Global existence for systems of nonlinear wave equations in two space dimensions. II
• The energy decay and asymptotics for a class of semilinear wave equations in two space dimensions
• Systems of semilinear wave equations with multiple speeds in two space dimensions and a weaker null condition
• Global existence for systems of nonlinear wave and Klein-Gordon equations in two space dimensions under a kind of the weak null condition
• Semilinear hyperbolic systems violating the null condition
• Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
• Lifespan of solutions of semilinear wave equations in two space dimensions
• Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data 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
• Blow-up for quasi-linear wave equations in three space dimensions
• Decay estimates for the Klein ndesh Gordon equation
• Remarks on the global sobolev inequalities in the minkowski space Rⁿ⁺¹
• Global Small Amplitude Solutions of Nonlinear Hyperbolic Systems with a Critical Exponent under the Null Condition
• Semilinear hyperbolic systems with blowup at infinity
• The Hyperboloidal Foliation Method

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