On the dual boundary conditions of the fourth derivative operators
Author:
Peng-Fei Yao
Journal:
Quart. Appl. Math. 54 (1996), 445-456
MSC:
Primary 47N20; Secondary 34B15, 35G15, 47E05
DOI:
https://doi.org/10.1090/qam/1402404
MathSciNet review:
MR1402404
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Abstract: A dual relationship between the boundary condition of the fourth derivative operator \[ Au = \frac {{{\partial ^4}u}}{{\partial {x^4}}}\] is established and examined in this paper. Some dual properties determined by the dual boundary conditions are also considered.
D. L. Russell, On the positive square root of the fourth derivative operator, Quart. Appl. Math. XLVI, 751–773 (1988)
P. F. Yao and D. X. Feng, Structure for nonnegative square roots of unbounded nonnegative selfadjoint operators, to appear, this journal
Joachim Weidmann, Linear operators in Hilbert spaces, Springer-Verlag, New York, Heidelberg, Berlin, 1980
D. L. Russell, On the positive square root of the fourth derivative operator, Quart. Appl. Math. XLVI, 751–773 (1988)
P. F. Yao and D. X. Feng, Structure for nonnegative square roots of unbounded nonnegative selfadjoint operators, to appear, this journal
Joachim Weidmann, Linear operators in Hilbert spaces, Springer-Verlag, New York, Heidelberg, Berlin, 1980
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Article copyright:
© Copyright 1996
American Mathematical Society
