Some remarks on the asymptotic profiles of solutions for strongly damped wave equations on the 1-D half space |
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Authors: | Ryo Ikehata |
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Affiliation: | Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima 739-8524, Japan |
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Abstract: | We consider a mixed problem with the Dirichlet null boundary conditions on the 1-dimensional half space (0,+∞). We will derive an asymptotic profiles of the corresponding solutions in the case when the initial data belong to a weighted L1,2(0,∞) space by employing a method recently introduced in [7] or [8]. |
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Keywords: | Wave equation Strong damping Mixed problem Fourier analysis Asymptotic profiles Weighted L1-initial data |
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