W1,p-estimates of solutions to evolution equations corresponding to nonsmooth second order elliptic differential operators

DOI10.1016/0362-546X(92)90211-VzbMath0764.35022OpenAlexW1966384044MaRDI QIDQ4008929

Konrad Gröger

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90211-v

zbMATH Keywords

regularitySobolev spaceinitial boundary value problemsmixed boundary value problemiteration procedurenon- smooth coefficientsvariational version of generally nonlinear second order elliptic operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25)

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