Resolvent convergence for Laplace operators on unbounded curved squeezed domains
Keywords
singular perturbations, resolvent convergence, Trotter-Kato-type convergenceAbstract
We establish a resolvent convergence result for the Laplace operator on certain classes of unbounded curved squeezed domains $\Omega_\eps$ as $\eps\to0$. As a consequence, we obtain Trotter-Kato-type convergence results for the corresponding family of $C^0$-semigroups. This extends previous results obtained by Antoci and Prizzi in \cite{\rfa{AP}} in the flat squeezing case.Downloads
Published
2013-04-22
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1.
CARBINATTO, Maria C. and RYBAKOWSKI, Krzysztof P. Resolvent convergence for Laplace operators on unbounded curved squeezed domains. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 42, no. 2, pp. 233 - 256. [Accessed 19 April 2024].
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