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Proceedings of the American Mathematical Society

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

 
 

 

A class of comparison theorems for nonselfadjoint elliptic equations.


Author: Kurt Kreith
Journal: Proc. Amer. Math. Soc. 29 (1971), 547-552
MSC: Primary 35.11
DOI: https://doi.org/10.1090/S0002-9939-1971-0279418-8
MathSciNet review: 0279418
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Abstract: Seemingly disparate comparison theorems for nonselfadjoint elliptic equations have been established by C. A. Swanson and the author. The present paper establishes a class of comparison theorems involving an arbitrary vector valued function $ p(x)$. Special choices of $ p(x)$ yield both of the comparison theorems cited above.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0279418-8
Keywords: Nonselfadjoint elliptic equations, Picone identity, mixed boundary condition, Green's theorem
Article copyright: © Copyright 1971 American Mathematical Society

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