On the benefit of different additional regularity for the weakly coupled systems of semilinear effectively damped waves

DOI10.1007/s00009-018-1173-1zbMath1395.35140OpenAlexW2804254472WikidataQ129814479 ScholiaQ129814479MaRDI QIDQ723828

Abdelhamid Mohammed Djaouti

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1173-1

zbMATH Keywords

global existencedamped wave equationssmall data solutions\(L^2\)-decayeffective dissipationweakly coupled hyperbolic systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (2)

Modified different nonlinearities for weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms ⋮ Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part

Cites Work

• Unnamed Item
• Semi-linear wave equations with effective damping
• Wave equations with time-dependent dissipation. II: Effective dissipation
• Existence and nonexistence of global solutions for a nonlinear hyperbolic system with damping
• Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data
• Global solutions to the Cauchy problem for the weakly coupled system of damped wave equations
• Critical exponent for the Cauchy problem to the weakly coupled damped wave system

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