Asymptotic profile of solutions for strongly damped Klein‐Gordon equations
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DOI: 10.1002/mma.5508
Abstract: We consider the Cauchy problem in the whole space for strongly damped Klein-Gordon equations. We derive asymptotic profles of solutions with weighted initial data by a simple method introduced by R. Ikehata. The obtained results… read more here.
Keywords: profile solutions; strongly damped; klein gordon; asymptotic profile ... See more keywords
When is the energy of the 1D damped Klein-Gordon equation decaying?
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DOI: 10.1007/s00208-018-1725-5
Abstract: We study time decay of the energy for the one dimensional damped Klein-Gordon equation. We give an explicit necessary and sufficient condition on the continuous damping function $$\gamma \ge 0$$γ≥0 for which the energy $$\begin{aligned}… read more here.
Keywords: energy; gordon equation; klein gordon; damped klein ... See more keywords