Decay of Solutions of Wave-type Pseudo-differential Equations over $p$-adic Fields

W. A. Zúñiga-Galindo

doi:10.2977/prims/1166642111

JournalsprimsVol. 42, No. 2pp. 461–479

Decay of Solutions of Wave-type Pseudo-differential Equations over $p$ -adic Fields

W. A. Zúñiga-Galindo
CINVESTAV–I.P.N., Santiago De Querétaro, Mexico

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Abstract

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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Cite this article

W. A. Zúñiga-Galindo, Decay of Solutions of Wave-type Pseudo-differential Equations over $p$ -adic Fields. Publ. Res. Inst. Math. Sci. 42 (2006), no. 2, pp. 461–479

DOI 10.2977/PRIMS/1166642111