Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points.
Nguyen Thanh Anh, Nguyen Manh Hung (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Asymptotic Property of Eigenvalues and Eigenfunctions of the Laplace Operator in Domain with a Perturbed Boundary”
Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points.
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This text contains a slightly expanded version of my 6 hour mini-course at the PDE-meeting in Évian-les-Bains in June 2009. The first part gives some old and recent results on non-self-adjoint differential operators. The second part is devoted to recent results about Weyl distribution of eigenvalues of elliptic operators with small random perturbations. Part III, in collaboration with B. Helffer, gives explicit estimates in the Gearhardt-Prüss theorem for semi-groups.
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