Mathematical Aspects of Nonlinear Pseudodifferential Equations of p-Adic Strings

摘要

Mathematical description of tachyon dynamics of open, closed and open-closed p-adic strings is considered. Questions on existence and nonexistence of continuous solutions and their properties and also structure of zeros of solutions are discussed. New multidimensional nonlinear equations of ultraparabolic type are obtained. A set of unsolved problems is presented.