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- W3099671432 abstract "We consider self-similar solutions to Smoluchowski's coagulation equation for kernels $K=K(x,y)$ that are homogeneous of degree zero and close to constant in the sense that [ -eps leq K(x,y)-2 leq eps Big(Big(frac{x}{y}Big)^{alpha} + Big(frac{y}{x}Big)^{alpha}Big) ] for $alpha in [0,1)$. We prove that self-similar solutions with given mass are unique if $eps$ is sufficiently small which is the first such uniqueness result for kernels that are not solvable. Our proof relies on a contraction argument in a norm that measures the distance of solutions with respect to the weak topology of measures." @default.
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- W3099671432 date "2014-07-17" @default.
- W3099671432 modified "2023-10-16" @default.
- W3099671432 title "Uniqueness of Self-similar Solutions to Smoluchowski’s Coagulation Equations for Kernels that are Close to Constant" @default.
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- W3099671432 doi "https://doi.org/10.1007/s10955-014-1070-3" @default.
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