Local well posedness for a linear coagulation equation

Escobedo, M.; Velázquez, J.

doi:10.1090/S0002-9947-2012-05576-0

Local well posedness for a linear coagulation equation
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by M. Escobedo and J. J. L. Velázquez PDF

Trans. Amer. Math. Soc. 365 (2013), 1743-1808 Request permission

Abstract:

In this paper a family of linear coagulation models is solved. These models arise in the analysis of the asymptotic behaviour of coagulation equations yielding gelation for large particles. The tools and techniques that are developed in this paper are based on the definition of a class of weighted Sobolev spaces that take into account the characteristic time scales associated to the coagulation equation for large particles, as well as in the continuation argument introduced by Schauder to prove well posedness of general classes of elliptic and parabolic equations.

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