We take some first steps in providing a synthetic theory of distributions. In particular, we are interested in the use of distribution theory as foundation, not just as tool, in the study of the wave equation.
Keywords: distribution, wave equation, synthetic differential calculus, extensive quantity
2000 MSC: 18F99, 35L05, 46F10
Theory and Applications of Categories
, Vol. 11, 2003,
No. 14, pp 321-336.
http://www.tac.mta.ca/tac/volumes/11/14/11-14.dvi
http://www.tac.mta.ca/tac/volumes/11/14/11-14.ps
http://www.tac.mta.ca/tac/volumes/11/14/11-14.pdf
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/11/14/11-14.dvi
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/11/14/11-14.ps