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Proceedings of the American Mathematical Society

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

 

 

Representation theorems for positive solutions of parabolic equations


Author: Yehuda Pinchover
Journal: Proc. Amer. Math. Soc. 104 (1988), 507-515
MSC: Primary 35C15; Secondary 35K10
DOI: https://doi.org/10.1090/S0002-9939-1988-0962821-0
MathSciNet review: 962821
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Abstract: We determine all the minimal positive solutions of the parabolic equation $ Lu = 0$ in $ {{\mathbf{R}}^n} \times {{\mathbf{R}}_ - }$, where $ L$ has time independent coefficients or $ L$ has periodic coefficients in $ {x_1}, \ldots ,{x_n}$ and $ t$.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0962821-0
Keywords: Appell transform, cap, Cauchy problem, exponential solution, extreme point, heat equation
Article copyright: © Copyright 1988 American Mathematical Society