Two nonlinear compactness theorems in \(L^p(0,T;B)\)

DOI10.1016/j.aml.2012.06.012zbMath1278.46035OpenAlexW2156743566MaRDI QIDQ714574

Jian-Guo Liu, Xiu-Qing Chen

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.06.012

zbMATH Keywords

Aubin-Lions-Simon lemmanonlinear compactnesstime translation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40)

Related Items

A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs ⋮ Existence of weak solutions to \(p\)-Navier-Stokes equations ⋮ Zero Mach number limit of the compressible primitive equations: Ill-prepared initial data ⋮ \(p\)-Euler equations and \(p\)-Navier-Stokes equations ⋮ A note on Aubin-Lions-Dubinskiĭ lemmas ⋮ Local well-posedness of strong solutions to the three-dimensional compressible primitive equations ⋮ Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities ⋮ Some variants of the classical Aubin-Lions lemma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compact families of piecewise constant functions in \(L^p (0,T;B)\)
• Compact sets in the space \(L^ p(0,T;B)\)
• Quasilinear elliptic-parabolic differential equations
• On a nonlinear compactness lemma in \(L^{p}(0,T;B)\)
• EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINS
• Reflections on Dubinskiĭ’s nonlinear compact embedding theorem

This page was built for publication: Two nonlinear compactness theorems in \(L^p(0,T;B)\)