AN EIGENVALUE PROBLEM WITH MIXED BOUNDARY CONDITIONS AND TRACE THEOREMS

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BANDLE C.

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ISSN: 2588-4824

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Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2008 | Volume:2 | Issue:2 Page(s): 68-75

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Title

AN EIGENVALUE PROBLEM WITH MIXED BOUNDARY CONDITIONS AND TRACE THEOREMS

Author(s)

BANDLE C. | Issue Writer Certificate

Keywords

ESTIMATES OF EIGENVALUES

TRACE INEQUALITY

COMPARISON THEOREMS FOR EIGENVALUES

Abstract

An eigenvalue problem is considered where the eigenvalue appears in the domain and on the boundary. This eigenvalue problem has a spectrum of discrete positive and negative eigenvalues. The smallest positive and the largest negative eigenvalue l±1 can be characterized by a variational principle. We are mainly interested in obtaining non trivial upper bounds for l-1. We prove some domain monotonicity for certain special shapes using a kind of maximum principle derived by C. Bandle, J.v. Bellow and W. Reichel in [J. Eur. Math. Soc., 10 (2007), 73–104]. We then apply these bounds to the TRACE INEQUALITY.

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APA: Copy

BANDLE, C.. (2008). AN EIGENVALUE PROBLEM WITH MIXED BOUNDARY CONDITIONS AND TRACE THEOREMS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2(2), 68-75. SID. https://sid.ir/paper/316864/en

Vancouver: Copy

BANDLE C.. AN EIGENVALUE PROBLEM WITH MIXED BOUNDARY CONDITIONS AND TRACE THEOREMS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2008;2(2):68-75. Available from: https://sid.ir/paper/316864/en

IEEE: Copy

C. BANDLE, “AN EIGENVALUE PROBLEM WITH MIXED BOUNDARY CONDITIONS AND TRACE THEOREMS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 2, no. 2, pp. 68–75, 2008, [Online]. Available: https://sid.ir/paper/316864/en

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