TY - JOUR
T1 - Lack of uniqueness in transport equations with a nonlocal nonlinearity
AU - Diekmann, Odo
AU - Gyllenberg, Mats
AU - Thieme, Horst
PY - 2000/6
Y1 - 2000/6
N2 - 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.
AB - 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.
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U2 - 10.1142/S0218202500000318
DO - 10.1142/S0218202500000318
M3 - Article
AN - SCOPUS:0034409721
SN - 0218-2025
VL - 10
SP - 581
EP - 591
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - 4
ER -