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The four natural boundary problems for the weighted form Laplacians acting on polynomial differential forms in the -dimensional Euclidean ball are solved explicitly. Moreover, an algebraic algorithm for generating a solution from the boundary data is given in each case.
@article{ASNSP_2008_5_7_2_343_0, author = {Koz{\l}owski, Wojciech and Pierzchalski, Antoni}, title = {Natural boundary value problems for weighted form laplacians}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {343--367}, publisher = {Scuola Normale Superiore, Pisa}, volume = {Ser. 5, 7}, number = {2}, year = {2008}, mrnumber = {2437031}, zbl = {1178.35156}, language = {en}, url = {http://geodesic.mathdoc.fr/item/ASNSP_2008_5_7_2_343_0/} }
TY - JOUR AU - Kozłowski, Wojciech AU - Pierzchalski, Antoni TI - Natural boundary value problems for weighted form laplacians JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2008 SP - 343 EP - 367 VL - 7 IS - 2 PB - Scuola Normale Superiore, Pisa UR - http://geodesic.mathdoc.fr/item/ASNSP_2008_5_7_2_343_0/ LA - en ID - ASNSP_2008_5_7_2_343_0 ER -
%0 Journal Article %A Kozłowski, Wojciech %A Pierzchalski, Antoni %T Natural boundary value problems for weighted form laplacians %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2008 %P 343-367 %V 7 %N 2 %I Scuola Normale Superiore, Pisa %U http://geodesic.mathdoc.fr/item/ASNSP_2008_5_7_2_343_0/ %G en %F ASNSP_2008_5_7_2_343_0
Kozłowski, Wojciech; Pierzchalski, Antoni. Natural boundary value problems for weighted form laplacians. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 7 (2008) no. 2, pp. 343-367. http://geodesic.mathdoc.fr/item/ASNSP_2008_5_7_2_343_0/