TY - JOUR
T1 - The space H(div, {dot operator}) on a surface - Application to Donati-like compatibility conditions on a surface
AU - Ciarlet, Philippe G.
AU - Iosifescu, Oana
PY - 2013/12
Y1 - 2013/12
N2 - In this Note, we show how the analogue of the classical space H(div, {dot operator}) can be defined on a surface. We then establish several properties of this space, notably the existence of a basic Green's formula satisfied by its elements. These results are then used for identifying Donati-like compatibility conditions on a surface. © 2013 Académie des sciences.
AB - In this Note, we show how the analogue of the classical space H(div, {dot operator}) can be defined on a surface. We then establish several properties of this space, notably the existence of a basic Green's formula satisfied by its elements. These results are then used for identifying Donati-like compatibility conditions on a surface. © 2013 Académie des sciences.
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U2 - 10.1016/j.crma.2013.10.023
DO - 10.1016/j.crma.2013.10.023
M3 - RGC 21 - Publication in refereed journal
SN - 1631-073X
VL - 351
SP - 943
EP - 947
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 23-24
ER -