Geodesic
Mathematical questions for theory of nonlinear pseudodifferential equations with $p$-adic string
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 34-41

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This work is devoted to the mathematical description of the dynamics of tachyons of open, closed and open-closed $p$-adic strings. The questions of existence and nonexistence of continuous solutions and their properties, as well zero structure of solutions is discussed. New multidimensional nonlinear equations of ultraparabolic type are obtained. Some unsolved problems are listed.
Keywords: $p$-adic strings, nonlinear pseudodifferential equations, existence and continuity of solutions
Mots-clés : zero structure of solutions. 
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     author = {V. S. Vladimirov},
     title = {Mathematical questions for theory of nonlinear pseudodifferential equations with $p$-adic string},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
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V. S. Vladimirov. Mathematical questions for theory of nonlinear pseudodifferential equations with $p$-adic string. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 34-41. http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a4/