Brenner A.
Polyparabolic equations with two-dimensional time.
(215K, LaTeX)

ABSTRACT.    The present article  is devoted to an interesting and 
rapidly developing branch of partial differential equations:
{\it partial differential equations with multidimensional time.}
We introduce  a new class of polyparabolic equations with two-dimensional 
time and study nonhomogeneous mixed problems for it. 
  In particular, we obtain the uniqueness theorem for the  problems  
satisfying the newly defined  inductive polyparabolicity condition.
Various equations of this type  occur in the theory of probability, 
cosmology and physics.