Geodesic
Some calculus with extensive quantities: wave equation
Theory and applications of categories, Tome 11 (2003), pp. 321-336.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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 
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     author = {Anders Kock and Gonzalo E. Reyes},
     title = {Some calculus with extensive quantities:  
wave equation},
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     volume = {11},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2003_11_a13/}
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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/