Estimating the division rate and kernel in the fragmentation equation
نویسندگان
چکیده
منابع مشابه
Estimating the division rate and kernel in the fragmentation equation
We consider the fragmentation equation ∂f ∂t (t, x) = −B(x)f(t, x) + ∫ y=∞ y=x k(y, x)B(y)f(t, y)dy, and address the question of estimating the fragmentation parameters i.e. the division rate B(x) and the fragmentation kernel k(y, x) from measurements of the size distribution f(t, ·) at various times. This is a natural question for any application where the sizes of the particles are measured e...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2018
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2018.03.004