T-minima for nonlinear parabolic problems: a variational approach for \(L^1\) data

DOI10.1007/s00028-018-0463-1zbMath1405.35078OpenAlexW2883656557MaRDI QIDQ1711681

Luigi Orsina, Maria Michaela Porzio, Boccardo, Lucio

Publication date: 18 January 2019

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-018-0463-1

zbMATH Keywords

nonlinear parabolic equationsvariational approachirregular data

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) PDEs with low regular coefficients and/or low regular data (35R05) Singular parabolic equations (35K67)

Cites Work

• Parabolic systems with \({p,q}\)-growth: a variational approach
• Nonlinear elliptic and parabolic equations involving measure data
• Compact sets in the space \(L^ p(0,T;B)\)
• Existence results for some nonlinear parabolic equations with nonregular data
• Pseudo solutions of the time-dependent minimal surface problem
• Nonlinear parabolic equations with measure data
• \(T\)-minima: an approach to minimization problems in \(L^1\)
• Existence of evolutionary variational solutions via the calculus of variations
• Existence and uniqueness of “entropy” solutions of parabolic problems with L1 data
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