On A.I. Koshelev's work on regularity theory of generalized solutions of quasilinear systems of elliptic and parabolic type

DOI10.1134/S0012266111130039zbMath1243.35003OpenAlexW2032966316MaRDI QIDQ416842

M. A. Narbut

Publication date: 10 May 2012

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266111130039

zbMATH Keywords

iterative processescomputable and sharp constants

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Biographies, obituaries, personalia, bibliographies (01A70) A priori estimates in context of PDEs (35B45) History of partial differential equations (35-03) Quasilinear elliptic equations (35J62) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Applying the universal iterative process to some problems of mechanics
• About the regularity of solutions for the nonstationary Navier-Stokes systems
• Regularity problem for quasilinear elliptic and parabolic systems
• On various questions of the existence of an approximate solution for quasilinear elliptic equations and systems in S. L. Sobolev spaces
• Regularity of Solutions for Some Quasilinear Parabolic Systems
• About the Regularity of Solutions of the Nonstationary Navier-Stokes System

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