output
20092026
most citedNorm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model

20 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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math-ph2024

Finite difference calculus in the continuum

Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +1

The paper describes known and new results about finite difference calculus on configuration spaces. We describe finite difference geometry on configuration spaces, connect finite d…

math-ph2019★ 18 cited

Heat Kernel Estimates for Fractional Heat Equation

Anatoly N. Kochubei, Yuri G. Kondratiev, José L. da Silva

We study the long-time behavior of the Cesaro means of fundamental solutions for fractional evolution equations corresponding to random time changes in the Brownian motion and othe…

math-ph2015★ 20 cited

Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model

Kirill D. Cherednichenko, Alexander V. Kiselev

We prove operator-norm resolvent convergence estimates for one-dimensional periodic differential operators with rapidly oscillating coefficients in the non-uniformly elliptic high-…

math-ph2009★ 8 cited

On -self-adjoint extensions of the Phillips symmetric operator

S. Kuzhel, O. Shapovalova, L. Vavrykovych

-self-adjoint extensions of the Phillips symmetric operator are studied. The concepts of stable and unstable -symmetry are introduced in the extension theory framework. T…