Seeking a Proof of Xie’s Inequality: On the Conjecture That $$\mu _{m} \rightarrow \infty $$

DOI10.1007/978-3-0348-0939-9_14zbMath1347.35018OpenAlexW2487030743MaRDI QIDQ2806215

John G. Heywood

Publication date: 17 May 2016

Published in: Recent Developments of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0939-9_14

zbMATH Keywords

estimates for Stokes and Poisson problemsnon-smooth boundaries

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (1)

Seeking a proof of Xie's inequality: analogues for series and Fourier series

Cites Work

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• Integral representation and \(L^ \infty\) bounds for solutions of the Helmholtz equation on arbitrary open sets in \(\mathbb{R}^ 2\) and \(\mathbb{R}^ 3\)
• Sharp Sobolev interpolation inequalities for the Stokes operator
• Smooth solutions of the vector Burgers equation in nonsmooth domains

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