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Boundary Value Problems for Partial Differential Equations and Function Spaces

Created 22 Jun 2021| Updated 24 Jun 2021 | 17 articles

This collection brings together articles on analysis, partial differential equations and equations of mathematical physics dedicated to the memory of Sergei L. Sobolev on the occasion of the 110th anniversary of his birthday.

Edited by

Heinrich Begehr(Free University of Berlin, Berlin, Germany)

Gennadii V. Demidenko(Sobolev Institute of Mathematics, Novosibirsk, Russian Federation)

Inessa I. Matveeva(Sobolev Institute of Mathematics, Novosibirsk, Russian Federation)

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Editorial
An overview of some works of S.L. Sobolev
H. Begehr, G. V. Demidenko & I. I. Matveeva

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 18 Feb 2021
AbstractforAn overview of some works of S.L. Sobolev | Full Text | References | PDF (2.1 MB) | EPUB
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Article
An iterative real sequence based on and providing a plane parqueting and harmonic Green functions
Heinrich Begehr, Hanxing Lin, Hua Liu & Bibinur Shupeyeva

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 21 Sep 2020
AbstractforAn iterative real sequence based on and providing a plane parqueting and harmonic Green functions | Full Text | References | PDF (1.8 MB) | EPUB
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Article
MHD model of incompressible polymeric fluid. Linear instability of the resting state
A. M. Blokhin & D. L. Tkachev

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 17 Aug 2020
AbstractforMHD model of incompressible polymeric fluid. Linear instability of the resting state | Full Text | References | PDF (1.2 MB) | EPUB
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Article
Solvability of the Cauchy problem for a pseudohyperbolic system
L. N. Bondar & G. V. Demidenko

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 16 Oct 2020
AbstractforSolvability of the Cauchy problem for a pseudohyperbolic system | Full Text | References | PDF (1.2 MB) | EPUB
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Article
Semilinear fractional-order evolution equations of Sobolev type in the sectorial case
Vladimir E. Fedorov & Anna S. Avilovich

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 15 Dec 2020
AbstractforSemilinear fractional-order evolution equations of Sobolev type in the sectorial case | Full Text | References | PDF (1,011.9 KB) | EPUB
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Article
Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups
Vagif S. Guliyev

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 28 Jul 2020
AbstractforCommutators of the fractional maximal function in generalized Morrey spaces on Carnot groups | Full Text | References | PDF (1.2 MB) | EPUB
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Article
On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator
Baltabek Kanguzhin & Ziganur Fazullin

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 16 Feb 2021
AbstractforOn the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator | Full Text | References | PDF (1 MB) | EPUB
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Article
Loaded differential equations and linear inverse problems for elliptic equations
A.I. Kozhanov & T. N. Shipina

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 25 Aug 2020
AbstractforLoaded differential equations and linear inverse problems for elliptic equations | Full Text | References | PDF (1.2 MB) | EPUB
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Article
Sharp pointwise estimates for solutions of weakly coupled second-order parabolic system in a layer
Gershon Kresin & Vladimir Maz'ya

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 03 Aug 2020
AbstractforSharp pointwise estimates for solutions of weakly coupled second-order parabolic system in a layer | Full Text | References | PDF (1.3 MB) | EPUB
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Article
On factorisation of a class of Schrödinger operators
Ari Laptev

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 27 Oct 2020
AbstractforOn factorisation of a class of Schrödinger operators | Full Text | References | PDF (603.8 KB) | EPUB
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Article
Stability of the inverse problem for Dini continuous conductivities in the plane
Robert McOwen & Bindu K. Veetel

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 13 Nov 2020
AbstractforStability of the inverse problem for Dini continuous conductivities in the plane | Full Text | References | PDF (1.6 MB) | EPUB
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Article
On the stability phenomenon of the Navier-Stokes type equations for elliptic complexes
Andrei Parfenov & Alexander Shlapunov

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 03 Nov 2020
AbstractforOn the stability phenomenon of the Navier-Stokes type equations for elliptic complexes | Full Text | References | PDF (1.9 MB) | EPUB
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Article
On some asymptotic representations of solutions to elliptic equations and their applications
S. G. Pyatkov & L. V. Neustroeva

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 14 Aug 2020
AbstractforOn some asymptotic representations of solutions to elliptic equations and their applications | Full Text | References | PDF (1.7 MB) | EPUB
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Article
The infinite convergence order of near minimal cubature formulas on classes of periodic functions
V. L. Vaskevich

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 8 (03 Aug 2021)

Published online: 17 Sep 2020
AbstractforThe infinite convergence order of near minimal cubature formulas on classes of periodic functions | Full Text | References | PDF (951 KB) | EPUB
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Article
Moduli inequalities for W1n-1,loc-mappings with weighted bounded (q, p)-distortion
S. K. Vodopyanov

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 10 Nov 2020
AbstractforModuli inequalities for W1n-1,loc-mappings with weighted bounded (q, p)-distortion | Full Text | References | PDF (2.4 MB) | EPUB
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Article
On a double phase problem with sublinear and superlinear nonlinearities
Ke-Qi Wang & Qing-Mei Zhou

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 10 Feb 2021
AbstractforOn a double phase problem with sublinear and superlinear nonlinearities | Full Text | References | PDF (859.5 KB) | EPUB
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Article
Solvability of nonlinear problem for some second-order nonstrongly elliptic system
Lyailya Zhapsarbayeva & Kordan Ospanov

Originally published in Complex Variables and Elliptic Equations, Volume: 66, Number: 6-7 (03 Jul 2021) Boundary Value Problems for Partial Differential Equations and Function Spaces - Special Issue Dedicated to the 110th Anniversary of the Birthday of Sergei L. Sobolev. Guest Editors: Heinrich Begehr, Gennadii V. Demidenko, and Inessa I. Matveeva

Published online: 28 Oct 2020
AbstractforSolvability of nonlinear problem for some second-order nonstrongly elliptic system | Full Text | References | PDF (1,007.4 KB) | EPUB
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