Asymptotic First Eigenvalue Estimates for the Biharmonic Operator on a Rectangle
نویسندگان
چکیده
منابع مشابه
Asymptotic First Eigenvalue Estimates For The Biharmonic Operator On A Rectangle
We find an asymptotic expression for the first eigenvalue of the biharmonic operator on a long thin rectangle. This is done by finding lower and upper bounds which become increasingly accurate with increasing length. The lower bound is found by algebraic manipulation of the operator, and the upper bound is found by minimising the quadratic form for the operator over a test space consisting of s...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1997
ISSN: 0022-0396
DOI: 10.1006/jdeq.1996.3235