On off-diagonal decay properties of the generalized Stokes semigroup with bounded measurable coefficients

DOI10.1007/s41808-021-00116-xOpenAlexW3200795409MaRDI QIDQ2061631

Patrick Tolksdorf

Publication date: 16 December 2021

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03226

zbMATH Keywords

off-diagonal estimatesgeneralized Stokes semigroupStokes operator with bounded measurable coefficients

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Variational methods applied to problems in fluid mechanics (76M30) Elliptic operators and their generalizations (47F10) Sectorial operators (47B12) Operator theory and harmonic analysis (47B90)

Related Items (1)

On off-diagonal decay properties of the generalized Stokes semigroup with bounded measurable coefficients

Cites Work

• Limits on \(L^ p\) regularity of self-adjoint elliptic operators
• An irregular complex valued solution to a scalar uniformly elliptic equation
• The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
• Uniformly elliptic operators with measurable coefficients
• On off-diagonal decay properties of the generalized Stokes semigroup with bounded measurable coefficients
• Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients
• On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
• ON THE WELL-POSEDNESS OF PARABOLIC EQUATIONS OF NAVIER–STOKES TYPE WITH DATA
• Well-posedness for the Navier-Stokes equations

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