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2004
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Direction fields (Mathematics) Fields, Direction (Mathematics) Slope fields (Mathematics) Fields, Slope (Mathematics) Fields, VectorCiter ce document
Jean Van Schaftingen, « Estimates for L vector fields with a second order condition », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.2004.28414
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Résumé
An estimate on the integral of the product of a vector field ƒ e L1 (RN ; R2N~]) and a function u e W1,Af(RjV) when ƒ satisfies a condi¬ tion involving the sum of some second-order derivatives. This gener¬ alizes a previous result concerning vector fields whose divergence is a summable function [1, 3]. A relationship between this inequality and a Korn-Sobolev inequality of Strauss [2] is established.