Resolvent convergence for Laplace operators on unbounded curved squeezed domains
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singular perturbations, resolvent convergence, Trotter-Kato-type convergenceAbstrakt
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.Pobrania
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2013-04-22
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CARBINATTO, Maria C. & RYBAKOWSKI, Krzysztof P. Resolvent convergence for Laplace operators on unbounded curved squeezed domains. Topological Methods in Nonlinear Analysis [online]. 22 kwiecień 2013, T. 42, nr 2, s. 233–256. [udostępniono 2.7.2025].
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