A generalized Sz. Nagy inequality in higher dimensions and the critical thin film equation

DOI10.1088/0951-7715/30/1/35zbMath1357.35176OpenAlexW2551957306MaRDI QIDQ2958631

Jinhuan Wang, Jian-Guo Liu

Publication date: 3 February 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/30/1/35

zbMATH Keywords

free boundary problemcritical masslong-wave instabilityfree-surface evolution

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Functional inequalities, including subadditivity, convexity, etc. (39B62) Higher-order parabolic equations (35K25)

Related Items (2)

Supercritical degenerate parabolic-parabolic Keller-Segel system: existence criterion given by the best constant in Sobolev's inequality ⋮ The best constant for 𝐿^{∞}-type Gagliardo-Nirenberg inequalities

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