超过程的拼接及其对应的非线性偏微分方程

″Piecing″ of Superprocesses and Corresponding Nonlinear Partial Differential Equations

通常的超过程仅具有时齐的分支机制.利用超过程的“拼接”方法,构造了一类具有非时齐分支机制的超过程,并且证明了它与一类非线性偏微分方程相对应.

Superprocesses always have homogeneous branching mechanism. A class of superprocesses with non-homogeneous mechanism are constructed by ＂piecing method＂ of superprocesses, and the nonlinear partial differential equations corresponding these superprocesses are given.