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Asymptotic behavior of solutions to semilinear wave equations with dissipative structure

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  • We study the asymptotic behavior of solutions to semilinear wave equations. The aim of this note is to find a condition on the nonlinearity which guarantees that the corresponding equation has dissipative structure, and to show that asymptotic behavior of the global solution is possibly different from the free solution.
    Mathematics Subject Classification: Primary: 35L70; Secondary: 35B40.


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