Extremal problems for eigenvalues of measure differential equations

Meng, Gang

doi:10.1090/S0002-9939-2015-12304-0

Extremal problems for eigenvalues of measure differential equations
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Proc. Amer. Math. Soc. 143 (2015), 1991-2002 Request permission

Abstract:

Measure differential equations can model non-classical problems like the quantum effects. In this paper we will solve extremal problems for eigenvalues of measure differential equations by exploiting the approximation of general measures by smooth measures and the continuity results of eigenvalues in weak$^*$ topology of measures.

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