A sharp pointwise bound for functions \\ with $L^2$-Laplacians on arbitrary domains \\ and its applications

DOI10.1090/S0273-0979-1992-00279-3zbMath0784.35012arXivmath/9204239OpenAlexW2049701975MaRDI QIDQ4005817

Wenzheng Xie

Publication date: 27 September 1992

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9204239

zbMATH Keywords

existence theorem for the Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

On one interpolation inequality and its application to the Bürgers equation

Cites Work

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• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Cone conditions and properties of Sobolev spaces
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization

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