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Decay of solutions of wave-type pseudo-differential equations over \(p\)-adic fields - MaRDI portal

Decay of solutions of wave-type pseudo-differential equations over \(p\)-adic fields (Q2471375)

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Decay of solutions of wave-type pseudo-differential equations over \(p\)-adic fields
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    Decay of solutions of wave-type pseudo-differential equations over \(p\)-adic fields (English)
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    22 February 2008
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    Summary: We show that the solutions of \(p\)-adic pseudo-differential equations of wave type have a decay similar to the solutions of classical generalized wave equations.
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    non-archimedean pseudo-differential equations
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    restriction of Fourier transforms
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    exponential sums modulo \(p^m\)
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    Igusa local zeta function
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