Zap. Nauchn. Sem. POMI, 2021, Volume 508

Zapiski Nauchnykh Seminarov POMI

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2021, Volume 508

Contents

Boundary-value problems of mathematical physics and related problems of function theory. Part 49

	Grigorii Aleksandrovich Seregin (photo)
	Interior and boundary continuity of $p(x)$-harmonic functions Yu. A. Alkhutov, M. D. Surnachev		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		39–72
	Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems M. Bildhauer, M. Fuchs		73–88
	Stability of the rotation of a two-phase drop with self-gravity I. V. Denisova, V. A. Solonnikov		89–123
	New classes of solutions to semilinear equations in $\mathbb R^n$ with fractional Laplacian A. I. Nazarov, A. P. Shcheglova		124–133
	One-dimensional problem of phase transitions in the mechanics of a continous medium at a variable temperature V. G. Osmolovskii		134–146
	Error identities for parabolic initial boundary value problems S. I. Repin		147–172
	On the local boundedness of solutions to the equation $-\Delta u+a\partial_zu=0$ N. D. Filonov, P. A. Hodunov		173–184