Hilbert-space-valued super-Brownian motion and related evolution equations
A stochastic partial differential equation is analyzed as a particular case of stochastic evolution equations. The super-Brownian motion on \([0,1]\) is studied as a Hilbert-space-valued equation. Weak existence and pathwise uniqueness are obtained by the Euler approximation scheme. Three theorems are given and proved. The paper is addressed to those working in the field of stochastic partial differential equations.
stochastic partial differential equations
scientific article; zbMATH DE number 1419731