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Zapiski Nauchnykh Seminarov POMI
Tome 508 (2021)
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Boundary-value problems of mathematical physics and related problems of function theory. Part 49

Sommaire


Interior and boundary continuity of $p(x)$-harmonic functions
Yu. A. Alkhutov ; M. D. Surnachev
p. 7-38

Investigation of the solvability of the first boundary -- value problem for the parabolic equation under the nonfulfillment of the compatibility conditions of the initial and boundary data
G. I. Bizhanova
p. 39-72

Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems
M. Bildhauer ; M. Fuchs
p. 73-88

Stability of the rotation of a two-phase drop with self-gravity
I. V. Denisova ; V. A. Solonnikov
p. 89-123

New classes of solutions to semilinear equations in $\mathbb R^n$ with fractional Laplacian
A. I. Nazarov ; A. P. Shcheglova
p. 124-133

One-dimensional problem of phase transitions in the mechanics of a continous medium at a variable temperature
V. G. Osmolovskii
p. 134-146

Error identities for parabolic initial boundary value problems
S. I. Repin
p. 147-172

On the local boundedness of solutions to the equation $-\Delta u+a\partial_zu=0$
N. D. Filonov ; P. A. Hodunov
p. 173-184
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