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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
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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Keywords: Appell transform, cap, Cauchy problem, exponential solution, extreme point, heat equation
Article copyright: © Copyright 1988 American Mathematical Society

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