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2010, Volume 22, Issue 6  


Research Papers
A problem with an obstacle that goes out to the boundary of the domain for a class of quadratic functionals on $\mathbb R^n$
A. A. Arkhipova
3
How should we improve the ray-tracing method?
B. V. Budaev
43
Schrödinger operator on the axis with potentials depending on two parameters
R. R. Gadyl'shin, I. Kh. Khusnullin
50
Asymptotic solutions of the two-dimensional model wave equation with degenerating velocity and localized initial data
S. Yu. Dobrokhotov, V. E. Nazaĭkinskiĭ, B. Tirozzi
67
On ill-posedness of free-boundary problems for highly compressible two-dimensional elastic bodies
Yu. V. Egorov, E. Sanchez-Palencia
91
On asymptotic approximations of solutions of an equation with a small parameter
A. M. Il'in, E. F. Lelikova
109
The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary
V. A. Kozlov, S. A. Nazarov
127
On the problem of time-harmonic water waves in the presence of a freely-floating structure
N. Kuznetsov
185
Trace Hardy–Sobolev inequalities in cones
A. I. Nazarov
200
A variational problem of phase transitions for a two-phase elastic medium with zero coefficient of surface tension
V. G. Osmolovskiĭ
214
On the linear problem arising in the study of a free boundary problem for the Navier–Stokes equations
V. A. Solonnikov
235
The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr–Sommerfeld quantization condition, revisited
D. R. Yafaev
270
Алгебра и анализ St. Petersburg Mathematical Journal
 
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