Jl. Lions et E. Sanchezpalencia, SENSITIVE BOUNDARY-VALUE-PROBLEMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 319(9), 1994, pp. 1021-1026
We study a linear boundary value problem which is a simplified model o
f thin elastic shells problems falling in the category of ''non-well i
nhibited'' shells (cf. [2], [1]). It leads to the introduction of unus
ual function spaces which indicate the ''sensitivity'' of the the solu
tion (in a sense explained below).