Transmission Eigenvalues for Elliptic Operators
نویسندگان
چکیده
A reduction of the transmission eigenvalue problem for multiplicative sign-definite perturbations of elliptic operators with constant coefficients to an eigenvalue problem for a non-selfadjoint compact operator is given. Sufficient conditions for the existence of transmission eigenvalues and completeness of generalized eigenstates for the transmission eigenvalue problem are derived. In the trace class case, the generic existence of transmission eigenvalues is established.
منابع مشابه
On the Spectral Properties of Degenerate Non-selfadjoint Elliptic systems of Differential Operators
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 43 شماره
صفحات -
تاریخ انتشار 2011