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},
zbl = {1178.35156},
mrnumber = {2437031},
language = {en},
url = {http://archive.numdam.org/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 DA - 2008/// SP - 343 EP - 367 VL - Ser. 5, 7 IS - 2 PB - Scuola Normale Superiore, Pisa UR - http://archive.numdam.org/item/ASNSP_2008_5_7_2_343_0/ UR - https://zbmath.org/?q=an%3A1178.35156 UR - https://www.ams.org/mathscinet-getitem?mr=2437031 LA - en ID - ASNSP_2008_5_7_2_343_0 ER -
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://archive.numdam.org/item/ASNSP_2008_5_7_2_343_0/
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