Authors
Citation
M. Mokhtarkharroubi, INVERSE PROBLEMS IN TRANSPORT-THEORY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(1), 1994, pp. 43-46
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
07644442
Volume
318
Issue
1
Year of publication
1994
Pages
43 - 46
Database
ISI
SICI code
0764-4442(1994)318:1<43:IPIT>2.0.ZU;2-Q
Abstract
We prove, for transport equations with sources, a series of results of
the following type: There exists a classe C of bounded measures on th
e velocity space V such that for each d mu epsilon C there exists a me
asure d mu' on V such that the knowledge of the moments of the solutio
n with respect to d mu and d mu' determines explicitly the source. As
by products we obtain W-2,W-p regularity results for moments with resp
ect to measures d mu epsilon C.