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math.AP2026
Higher order H{ö}lder approximation by solutions of second order elliptic equations
Grigori Rozenblum, Nikolay Shirokov
For a given second order elliptic operation in a domain , , and a compact set , order -…
math.AP2023
Approximation of functions on a compact set by solutions of elliptic equations. Quantitative results
Grigori Rozenblum, Nikolai Shirokov
We establish that a generalized Hölder continuous function on an -Ahlfors regular compact set in can be approximated by solutions of an elliptic equation, wit…
math.AP2020
Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case
Grigori Rozenblum, Eugene Shargorodsky
In a domain we consider a selfadjoint operator where is a pseudodifferential operator o…