By way of examples we show that the initial value problem for transport equations, with coefficients that involve a nonlocal (in space) functional of the solution, may have multiple solutions. We try to expose the essential features of the examples, thus motivating certain assumptions in the theory of physiologically structured population models.
|Original language||English (US)|
|Number of pages||11|
|Journal||Mathematical Models and Methods in Applied Sciences|
|State||Published - Jun 2000|
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics