Best Constants in the Miranda-Agmon Inequalities for Solutions of Elliptic Systems and the Classical Maximum Modulus Principle for Fluid and Elastic Half-spaces

DOI10.1080/0003681021000058565zbMath1290.35021OpenAlexW2039918732WikidataQ58247677 ScholiaQ58247677MaRDI QIDQ4435619

Vladimir Gilelevich Maz'ya, Gershon I. Kresin

Publication date: 17 November 2003

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0003681021000058565

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Incompressible viscous fluids (76D99) Maximum principles in context of PDEs (35B50) Navier-Stokes equations (35Q30) Equilibrium (steady-state) problems in solid mechanics (74G99) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (1)

Sharp pointwise estimates for solutions of strongly elliptic second order systems with boundary data fromL^p

Cites Work

• Teorema del massimo modulo e teorema di esistenza e di unicità per il problema di Dirichlet relativo alle equazioni ellittiche in due variabili
• Criteria for validity of the maximum modulus principle for solutions of linear strongly elliptic second order systems
• Maximum theorems for solutions of higher order elliptic equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• ON THE MAXIMUM PRINCIPLE FOR STRONGLY ELLIPTIC AND PARABOLIC SECOND ORDER SYSTEMS WITH CONSTANT COEFFICIENTS
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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