Fonctions biharmoniques adjointes

Emmanuel P. Smyrnelis. "Fonctions biharmoniques adjointes." Annales Polonici Mathematici 99.1 (2010): 1-21. <http://eudml.org/doc/280290>.

@article{EmmanuelP2010,
abstract = {The study of the equation (L₂L₁)*h = 0 or of the equivalent system L*₂h₂ = -h₁, L*₁h₁ = 0, where $L_\{j\} (j=1,2)$ is a second order elliptic differential operator, leads us to the following general framework: Starting from a biharmonic space, for example the space of solutions (u₁,u₂) of the system L₁u₁ = -u₂, L₂u₂ = 0, $L_\{j\} (j=1,2)$ being elliptic or parabolic, and by means of its Green pairs, we construct the associated adjoint biharmonic space which is in duality with the initial one.},
author = {Emmanuel P. Smyrnelis},
journal = {Annales Polonici Mathematici},
keywords = {biharmonic function; biharmonic space},
language = {eng},
number = {1},
pages = {1-21},
title = {Fonctions biharmoniques adjointes},
url = {http://eudml.org/doc/280290},
volume = {99},
year = {2010},
}

TY - JOUR
AU - Emmanuel P. Smyrnelis
TI - Fonctions biharmoniques adjointes
JO - Annales Polonici Mathematici
PY - 2010
VL - 99
IS - 1
SP - 1
EP - 21
AB - The study of the equation (L₂L₁)*h = 0 or of the equivalent system L*₂h₂ = -h₁, L*₁h₁ = 0, where $L_{j} (j=1,2)$ is a second order elliptic differential operator, leads us to the following general framework: Starting from a biharmonic space, for example the space of solutions (u₁,u₂) of the system L₁u₁ = -u₂, L₂u₂ = 0, $L_{j} (j=1,2)$ being elliptic or parabolic, and by means of its Green pairs, we construct the associated adjoint biharmonic space which is in duality with the initial one.
LA - eng
KW - biharmonic function; biharmonic space
UR - http://eudml.org/doc/280290
ER -