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Gradient blow up in Zygmund spaces for the very weak solution of a linear elliptic equation
Abergel F. et al
http://hal.archives-ouvertes.fr/hal-00647503
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Frédéric Abergel ()1, Jean-Michel Rakotoson2
1:  MAS - Mathématiques Appliquées aux Systèmes - EA 4037
http://www.mas.ecp.fr/
Ecole Centrale Paris
Grande Voie des Vignes 92295 Châtenay-Malabry
France
2:  LMA-Poitiers - Laboratoire de Mathématiques et Applications
http://www-math.univ-poitiers.fr/
CNRS : UMR6086 – Université de Poitiers
Téléport 2 - BP 30179 Boulevard Marie et Pierre Curie 86962 Futuroscope Chasseneuil Cedex
France
Mathematics/Analysis of PDEs
Gradient blow up in Zygmund spaces for the very weak solution of a linear elliptic equation
We study the behaviour of very weak solutions (introduced by Brezis) of linear elliptic equations when the right-hand-side belongs to a weighted L1 space, the weight being a function of the distance to the boundary.
English
2011

Very weak solutions – elliptic PDE – Lorentz space – distance to the boundary