Maxwell meets Korn: A New Coercive Inequality for Tensor Fields with Square-Integrable Exterior Derivative
Patrizio Neff, Dirk Pauly, Karl-Josef Witsch
TL;DR
This paper introduces a new coercive inequality for tensor fields with square-integrable exterior derivatives, bridging concepts from Maxwell's equations and Korn's inequality to advance mathematical analysis in tensor calculus.
Contribution
It presents a novel coercive inequality that extends classical results, specifically addressing tensor fields with square-integrable exterior derivatives, combining ideas from electromagnetism and elasticity theory.
Findings
Established a new inequality applicable to tensor fields in mathematical physics.
Demonstrated the inequality's effectiveness in theoretical analysis of PDEs.
Bridged concepts from Maxwell's equations and Korn's inequality.
Abstract
Maxwell meets Korn: A New Coercive Inequality for Tensor Fields with Square-Integrable Exterior Derivative
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