It is known that, if $\Omega\subset\R^2$ is a convex, possibly unbounded, set, the first nontrivial Neumann eigenvalue of the Hermite operator satisfies the following inequality: $\mu_1(\Omega)\ge 1$. We investigate the equality case, by proving that $\mu_1(\Omega)=1$ if and only if $\Omega$ is a strip.

### An inverse spectral problem

#### Abstract

It is known that, if $\Omega\subset\R^2$ is a convex, possibly unbounded, set, the first nontrivial Neumann eigenvalue of the Hermite operator satisfies the following inequality: $\mu_1(\Omega)\ge 1$. We investigate the equality case, by proving that $\mu_1(\Omega)=1$ if and only if $\Omega$ is a strip.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/741614
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