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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.
@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}, publisher = {mathdoc}, volume = {11}, year = {2003}, 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/