Some calculus with extensive quantities:
wave equation
Theory and applications of categories, Tome 11 (2003), pp. 321-336
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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.
Classification :
18F99, 35L05, 46F10
Keywords: distribution, wave equation, synthetic differential calculus, extensive quantity
Keywords: distribution, wave equation, synthetic differential calculus, extensive quantity
@article{TAC_2003_11_a13,
author = {Anders Kock and Gonzalo E. Reyes},
title = {Some calculus with extensive quantities:
wave equation},
journal = {Theory and applications of categories},
pages = {321--336},
year = {2003},
volume = {11},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2003_11_a13/}
}
Anders Kock; Gonzalo E. Reyes. Some calculus with extensive quantities: wave equation. Theory and applications of categories, Tome 11 (2003), pp. 321-336. http://geodesic.mathdoc.fr/item/TAC_2003_11_a13/