Displaying similar documents to “On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator.”

Sets of determination for parabolic functions on a half-space

Jarmila Ranošová (1994)

Commentationes Mathematicae Universitatis Carolinae

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We characterize all subsets M of n × + such that sup X n × + u ( X ) = sup X M u ( X ) for every bounded parabolic function u on n × + . The closely related problem of representing functions as sums of Weierstrass kernels corresponding to points of M is also considered. The results provide a parabolic counterpart to results for classical harmonic functions in a ball, see References. As a by-product the question of representability of probability continuous distributions as sums of multiples of normal distributions is investigated. ...