Distributions for which div upsilon = F has a continuous solution
(2008) Communications on Pure and Applied Mathematics — Vol. 61, n° 2, p. 230-260 (2008)
Files
No attached file found for this publication.
Details
- Authors
- Abstract
- The equation div upsilon = F has a continuous weak solution in an open set U subset of R-m if and only if the distribution F satisfies the following condition: the F(phi(i)) converge to 0 for every sequence {phi(i)} of test functions such that the support of each (i) is contained in a fixed compact subset of U, and in the L-1 norm, {phi(i)} converges to 0 and {del phi(i)} is bounded. (c) 2007 Wiley Periodicals, Inc.
- Affiliations
Citations
De Pauw, T., & Pfeffer, W. F. (2008). Distributions for which div upsilon = F has a continuous solution. Communications on Pure and Applied Mathematics, 61(2), 230-260. https://doi.org/10.1002/cpa.20204 (Original work published 2008)