 95105 Brenner A.
 Polyparabolic equations with twodimensional time.
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Feb 22, 95

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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 twodimensional
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.
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