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Quantum singular operator limits of thin Dirichlet tubes via $\Gamma$-convergence
Quantum singular operator limits thin Dirichlet tubes $\Gamma$-convergence
2010/11/11
The $\Gamma$-convergence of lower bounded quadratic forms is used to study the singular operator limit of thin tubes (i.e., the vanishing of the cross section diameter) of the Laplace operator with Di...
Memory Effects and $\boldsymbol{\Gamma}$-Convergence：A Time Dependent Case
Time Dependent Case Memory Effects $\boldsymbol{\Gamma}$-Convergence
2009/1/19
We study the asymptotic behavior of the energy functional associated to the parametric equation $\partial_t u_\varepsilon(t, x)$ $+ a_\varepsilon(t, x) g (u_\varepsilon(t, x)) =f(t, x)$, $u_\varepsil...