Global solvability for Kirchhoff equation in special classes of non-analytic functions |
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Authors: | Fumihiko Hirosawa |
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Institution: | Department of Mathematics, Nippon Institute of Technology, Saitama 345-8501, Japan |
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Abstract: | In this paper we derive the following two properties: the first one is a precise representation of WKB solution to the Cauchy problem of a linear wave equation with a variable coefficient with respect to time, and the second one is the global solvability for Kirchhoff equation in some special classes of nonreal-analytic functions, which is proved by grace of the first property. |
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Keywords: | primary 35L70 secondary 35L15 |
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