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math.AP2018
Optimal leading term of solutions to wave equations with strong damping terms
Hironori Michihisa
We analyze the asymptotic behavior of solutions to wave equations with strong damping terms. If the initial data belong to suitable weighted spaces, lower bounds for the diff…
math.AP2018
Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms
Ryo Ikehata, Hironori Michihisa
In this report we obtain higher order asymptotic expansions of solutions to wave equations with frictional and viscoelastic damping terms. Although the diffusion phenomena are domi…