Systems of semilinear wave equations with multiple speeds in two space dimensions and a weaker null condition

DOI10.3934/cpaa.2022092zbMath1500.35207OpenAlexW4293149978MaRDI QIDQ2090400

Soichiro Katayama, Minggang Cheng

Publication date: 25 October 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2022092

zbMATH Keywords

semilinear wave equationasymptotic behaviorglobal existencenull conditionweak null conditionmultiple propagation speeds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (1)

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

Cites Work

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• Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
• Energy decay for small solutions to semilinear wave equations with weakly dissipative structure
• 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
• 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 solutions and the asymptotic behavior for nonlinear wave equations with small initial data
• Resonance-type behaviour in a system of nonlinear wave equations
• The energy decay and asymptotics for a class of semilinear wave equations in two space dimensions
• Semilinear hyperbolic systems violating the null condition
• Remarks on the asymptotic behavior of global solutions to systems of semilinear wave equations
• Modification of the vector-field method related to quadratically perturbed wave equations in two space dimensions
• Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
• ASYMPTOTIC POINTWISE BEHAVIOR FOR SYSTEMS OF SEMILINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS
• Lifespan of solutions of semilinear wave equations in two space dimensions
• On Agemi-type structural conditions for a system of semilinear wave equations
• The Existence of Global Solutions to Systems of Quasilinear Wave Equations with Quadratic Nonlinearities in 2-Dimensional Space
• Global solutions of nonlinear hyperbolic equations for small initial data
• 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 null condition for quasilinear wave equations in two space dimensions. I

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