Natural boundary value problems for weighted form laplacians

Wojciech Kozłowski; Antoni Pierzchalski

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2008)

  • Volume: 7, Issue: 2, page 343-367
  • ISSN: 0391-173X

Abstract

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The four natural boundary problems for the weighted form Laplacians L = a d δ + b δ d , a , b > 0 acting on polynomial differential forms in the n -dimensional Euclidean ball are solved explicitly. Moreover, an algebraic algorithm for generating a solution from the boundary data is given in each case.

How to cite

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Kozłowski, Wojciech, and Pierzchalski, Antoni. "Natural boundary value problems for weighted form laplacians." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 7.2 (2008): 343-367. <http://eudml.org/doc/272256>.

@article{Kozłowski2008,
abstract = {The four natural boundary problems for the weighted form Laplacians $L=ad\delta +b\delta d, \ a, b&gt;0$ acting on polynomial differential forms in the $n$-dimensional Euclidean ball are solved explicitly. Moreover, an algebraic algorithm for generating a solution from the boundary data is given in each case.},
author = {Kozłowski, Wojciech, Pierzchalski, Antoni},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {weighted Laplacian; differential forms; boundary condition},
language = {eng},
number = {2},
pages = {343-367},
publisher = {Scuola Normale Superiore, Pisa},
title = {Natural boundary value problems for weighted form laplacians},
url = {http://eudml.org/doc/272256},
volume = {7},
year = {2008},
}

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
PB - Scuola Normale Superiore, Pisa
VL - 7
IS - 2
SP - 343
EP - 367
AB - The four natural boundary problems for the weighted form Laplacians $L=ad\delta +b\delta d, \ a, b&gt;0$ acting on polynomial differential forms in the $n$-dimensional Euclidean ball are solved explicitly. Moreover, an algebraic algorithm for generating a solution from the boundary data is given in each case.
LA - eng
KW - weighted Laplacian; differential forms; boundary condition
UR - http://eudml.org/doc/272256
ER -

References

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