# Preprints of the St. Petersburg Mathematical
Society

**2016**

**2016-01**

*Author:* **Nazarov, A. I.**

*Title:* **Remark on fractional Laplacians**

*Comments:* English, LaTeX, 4 pp.

*Subj-class:* **35R11**

*Submitted:* 23.03.2016

Abstract, LaTeX, PDF

**2016-02**

*Author:* **Petrova, Yu. P.**

*Title:* **Spectral asymptotics for problems with integral constraints**

*Comments:* Russian, LaTeX, 9 pp.

*Subj-class:* **34L20**, *Secondary:* **60G15**

*Submitted:* 22.06.2016

Abstract, LaTeX, PDF

**2016-03**

*Author:* **Reinov, Oleg**

*Title:* **Finite dimensional aspect of existence of non-nuclear operators with s-nuclear adjoints**

*Comments:* English, LaTeX, 23 pp.

*Subj-class:* **47B10**

*Submitted:* 24.06.2016

Abstract, LaTeX, PDF

**2016-04**

*Author:* **Reinov, O. I.**

*Title:* **On product of nuclear operators**

*Comments:* Russian, LaTeX, 3 pp.

*Subj-class:* **47B10**

*Submitted:* 29.07.2016

Abstract, LaTeX, PDF, PostScript

**2016-05**

*Author:* **Reinov, O. I.**

*Title:* **On symmetry of spectra of nuclear operators**

*Comments:* Russian, LaTeX, 4 pp.

*Subj-class:* **47B10**

*Submitted:* 23.08.2016

Abstract, LaTeX, PDF

**2016-06**

*Authors:* **Ivochkina N. M.; Filimonenkova N. V.**

*Title:* **Geometrical models in the theory of fully nonlinear differential equations**

*Comments:* Russian, LaTeX, 31 pp.

*Subj-class:* **53A55**, *Secondary:* **35J60**

*Submitted:* 10.09.2016

Abstract, LaTeX, PDF

**2016-07**

*Authors:* **Galkovskii, E. D.; Nazarov, A. I.**

*Title:* **A general trace formula for a regular differential operator on a segment with the last coefficient perturbated by a finite signed measure**

*Comments:* Russian, LaTeX, 20 pp.

*Subj-class:* **34L05**

*Submitted:* 24.09.2016

Abstract, LaTeX, PDF

**2016-08**

*Authors:* **Pusev, R. S.; Tolstoganov, I. N.**

*Title:* **Exact small ball asymptotics for some Gaussian processes under quadratic norm with degenerate weight**

*Comments:* Russian, LaTeX, 16 pp.

*Subj-class:* **60G15**

*Submitted:* 08.11.2016

Abstract, LaTeX, PDF

**2016-09**

*Author:* **Reinov, O. I.**

*Title:* **Some remarks on spectra of nuclear operators**

*Comments:* English, LaTeX, 9 pp.

*Subj-class:* **47B10**

*Submitted:* 10.11.2016

Abstract, LaTeX, PDF, PostScript

**2016-10**

*Authors:* **Meshkova, Yu. M.; Suslina, T. A.**

*Title:* **Homogenization for solutions of the Dirichlet problem for elliptic systems: Two-parametric error estimates**

*Comments:* Russian, LaTeX, 94 pp.

*Subj-class:* **35B27**

*Submitted:* 15.12.2016

Abstract, LaTeX, PDF

**2016-11**

*Author:* **Frolova, E. V.**

*Title:* **Free boundary problem of magnetohydrodynamics for two liquids**

*Comments:* English, LaTeX, 6 pp.

*Subj-class:* **35Q35**, *Secondary:* **35R35**, **76D03**

*Submitted:* 14.12.2016

Abstract, LaTeX, PDF

**2016-12**

*Authors:* **Apushkinskaya, D. E.; Uraltseva, N. N.**

*Title:* **Monotonicity formula for the hysteresis-type problem**

*Comments:* Russian, LaTeX, 5 pp.

*Subj-class:* **35R35**, *Secondary:* **47J40**

*Submitted:* 22.12.2016

Abstract, LaTeX, PDF, Postscript

**2016-13**

*Author:* **Ustinov, N. S.**

*Title:* **Multiplicity of positive solutions to the boundary value problems for fractional Laplacians**

*Comments:* Russian, LaTeX, 17 pp.

*Subj-class:* **35R11**, *Secondary:* **35B06**

*Submitted:* 24.12.2016

Abstract, LaTeX, PDF

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