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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Convergent nets of parabolic and generalized superparabolic functions

Author: Neil A. Eklund
Journal: Proc. Amer. Math. Soc. 50 (1975), 237-243
MSC: Primary 35K10
MathSciNet review: 0509707
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Abstract: The well-known convergence properties of families of harmonic functions are generalized to functions which satisfy $ Lu = 0$ where $ L$ is the weak parabolic operator in divergence form. Properties of superharmonic functions are obtained for generalized superparabolic functions. These results are obtained on any bounded domain in $ {E^{n + 1}}$.

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Keywords: Parabolic operator, sequences, generalized superparabolic functions, parabolic minorants
Article copyright: © Copyright 1975 American Mathematical Society

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