most citedExtreme localisation of eigenfunctions to one-dimensional high-contrast periodic problems with a defect

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math-ph2017

Stochastic homogenisation of high-contrast media

Mikhail Cherdantsev, Kirill Cherednichenko, Igor Velčić

Using a suitable stochastic version of the compactness argument of [V. V. Zhikov, 2000. On an extension of the method of two-scale convergence and its applications. Sb. Math., 191(…

math.SP2017★ 3 cited

Extreme localisation of eigenfunctions to one-dimensional high-contrast periodic problems with a defect

Mikhail Cherdantsev, Kirill Cherednichenko, Shane Cooper

Following a number of recent studies of resolvent and spectral convergence of non-uniformly elliptic families of differential operators describing the behaviour of periodic composi…

math.AP2008

Spectral convergence for high contrast elliptic periodic problems with a defect via homogenization

M. I. Cherdantsev

We consider an eigenvalue problem for a divergence form elliptic operator with high contrast periodic coefficients with period in each coordinate, where is a small pa…