Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators

Abstract

We prove sharp stability estimates for the variation of the eigenvalues of non-negative self-adjoint elliptic operators of arbitrary even order upon variation of the open sets on which they are defined. These estimates are expressed in terms of the Lebesgue measure of the symmetric difference of the open sets. Both Dirichlet and Neumann boundary conditions are considered.

References in corpus (2)

• Spectral stability of higher order uniformly elliptic operators
• Stability estimates for resolvents, eigenvalues and eigenfunctions of elliptic operators on variable domains

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