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Sharp Sobolev interpolation inequalities for the Stokes operator

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Publication:1386260
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zbMath0892.46030MaRDI QIDQ1386260

Wenzheng Xie

Publication date: 17 May 1998

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

fundamental solutionsStokes operatorSobolev interpolation inequality


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Inequalities involving derivatives and differential and integral operators (26D10) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)


Related Items (5)

Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the modified Kuramoto-Sivashinky equation in one and two space dimensions ⋮ On some conjectures of Heywood ⋮ Seeking a proof of Xie's inequality: analogues for series and Fourier series ⋮ Explicit estimates on the torus for the sup-norm and the dissipative length scale of solutions of the Swift-Hohenberg equation in one and two space dimensions ⋮ Seeking a Proof of Xie’s Inequality: On the Conjecture That $$\mu _{m} \rightarrow \infty $$







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