Some calculus with extensive quantities:
wave equation

Anders Kock and Gonzalo E. Reyes

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.

TAC Home