Green’s function for elliptic systems: existence and Delmotte–Deuschel bounds

This paper is divided into two parts: In the main deterministic part, we prove that for an open domain D ⊂ R d with d ≥ 2 , for every (measurable) uniformly elliptic tensor field a and for almost every point y ∈ D , there exists a unique Green’s function centred in y associated to the vectorial oper...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2017-12, Vol.56 (6), p.1-51, Article 163
Hauptverfasser:	Conlon, Joseph G., Giunti, Arianna, Otto, Felix
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Calculus of Variations and Optimal Control Optimization Control Green's functions Mathematical and Computational Physics Mathematics Mathematics and Statistics Systems Theory Theoretical
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