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Proceedings of the American Mathematical Society

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

 

 

A generalization of Sturm's separation theorem


Author: W. Allegretto
Journal: Proc. Amer. Math. Soc. 25 (1970), 151-154
MSC: Primary 35.11
DOI: https://doi.org/10.1090/S0002-9939-1970-0255959-3
MathSciNet review: 0255959
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Abstract: A Sturmian separation theorem is established for elliptic-parabolic equations with minimal assumptions on the coefficients and none on the regularity of the domain. A comparison theorem for linear equations and a separation theorem for quasi-linear equations are then obtained as applications.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0255959-3
Keywords: Sturmian separation theorem, comparison theorem, nonselfadjoint equations, elliptic-parabolic equations, quasi-linear equations
Article copyright: © Copyright 1970 American Mathematical Society