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Contents
• To the 70th anniversary of the Mathematical Physics Department of St. Petersburg State University ....... 5
• Bakharev F., Matveenko S. Fractional Laplacian in bended strip ....... 9
• Bystrov D. V. On solvability of the Neumann problem for quasilinear equations with critical growth of the right-hand side on a manifold ....... 25
• Denisova I. V. On the stability of rotation of a two-phase fluid with a free boundary ....... 31
• Efimov E. A., Osmolovskii V. G. Variational problem of two-phase elastic media equilibrium in presence of mixed phases ....... 71
• Kozlov V. Spectral properties of the Fr\'{e}chet derivatives of stratified steady Stokes waves ....... 97
• Mironenko F. D. H\"{o}lder norm estimates for solutions to parabolic equation on a ``book''-type stratified set ....... 122
• Mikhaylov V. S. Dynamic representation of the Weyl solution for the Schr\"odinger operator on the half-line ....... 151
• Nazarov S. A. Asymptotics of solutions to the Dirichlet problem for a formally self-adjoint elliptic system in a junction of quarter-layers ....... 160
• Panov E. Yu. On linear evolutionary equations with a skew symmetric spatial operator ....... 194
• Petrova Yu., Rastegaev N. Kru\v{z}kov-type uniqueness theorem for a non-monotone flow function case with application to Riemann problem solutions ....... 223
• Repin S. A posteriori estimates for inverse parabolic problems ....... 271
• Rozenblum G., Tashchiyan G. Spectral asymptotics and estimates for matrix Birman-Schwinger operators with singular measures ....... 296
• Frolova E. V. Global solvability of the free boundary magnetohydrodynamics problem for two fluids ....... 318
• Reviews .......341

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• Paging 346 pp.

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