On doubling inequalities for elliptic systems

2008/10/01 by Giovanni Alessandrini, Antonino Morassi, Edi Rosset +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Applied mathematics #Diagonal #Elasticity (physics) #Geometry #Inequality #Isotropy #Iterated function #Laplace operator #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Principal (computer security) #Principal part #Pure mathematics #math.AP #msc:35J55 #msc:35R30 #msc:74B05

paper · pdf · doi:10.1016/j.jmaa.2009.04.024

published as J. Math. Anal. App., 357, (2), 2009, 349-355 · 13 pages, submitted for publication

arxiv created 2008/10/01 · openalex publication_date 2009/04/20 · arxiv updated 2012/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We prove doubling inequalities for solutions of elliptic systems with an iterated Laplacian as diagonal principal part and for solutions of the Lame' system of isotropic linearized elasticity. These inequalities depend on global properties of the solutions.

Citations

• Lectures on Analysis on Metric Spaces
• Quantitative uniqueness for second order elliptic operators with strongly singular coefficients

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