Asymptotic behavior of solutions to semilinear systems of wave equations

DOI10.1512/iumj.2008.57.3166zbMath1157.35069OpenAlexW2082434827MaRDI QIDQ5460079

Hideo Kubo, Soichiro Katayama

Publication date: 2 May 2008

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ca7fcf8e1c8443185beb12b69638ac107550303a

zbMATH Keywords

weak null conditionNonlinear wave equationgrow-up energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (5)

Energy decay for small solutions to semilinear wave equations with weakly dissipative structure ⋮ ASYMPTOTIC POINTWISE BEHAVIOR FOR SYSTEMS OF SEMILINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS ⋮ Semilinear hyperbolic systems violating the null condition ⋮ Global existence of null-form wave equations on small asymptotically Euclidean manifolds ⋮ On Agemi-type structural conditions for a system of semilinear wave equations

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