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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Generalized super-solutions of parabolic equations


Author: Neil A. Eklund
Journal: Trans. Amer. Math. Soc. 220 (1976), 235-242
MSC: Primary 35K10
DOI: https://doi.org/10.1090/S0002-9947-1976-0473522-6
Erratum: Trans. Amer. Math. Soc. 247 (1979), 317-318.
MathSciNet review: 0473522
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Abstract: Let L be a linear, second order parabolic operator in divergence form and let Q be a bounded cylindrical domain in $ {E^{n + 1}}$. Super-solutions of $ Lu = 0$ are defined and generalized to three equivalent forms. Generalized super-solutions are shown to satisfy a minimum principle and form a lattice.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1976-0473522-6
Keywords: Parabolic PDE, super-solutions, potential theory
Article copyright: © Copyright 1976 American Mathematical Society