Fundamental solutions of the acoustic and diffusion equations in nonhomogeneous medium |
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Authors: | Victor P Palamodov |
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Institution: | (1) School of Mathematical Sciences, Tel Aviv University, 69978 Ramat Aviv, Israel |
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Abstract: | A fundamental solution of the acoustical equation with a variable refraction coefficient is constructed. The solution satisfies
the limiting absorption and radiation conditions. The optimal high frequency estimate is proved for square means of the solution.
The source function for the diffusion equation is a by-product of this construction.
Partially supported by a stipend of the Mathematical Scientific Research Institute at Berkeley, 2001. |
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