Uniqueness of measure solutions for multi-component coagulation equations

TL;DR

This paper proves the uniqueness of measure solutions for a multi-component coagulation equation, extending classical results and including a broad class of kernels and source terms.

Contribution

It establishes the uniqueness of solutions for multi-component coagulation equations, broadening the scope to various kernels and source terms, including the classical case.

Findings

Uniqueness of measure solutions proven for multi-component coagulation equations.

Results apply to a broad range of coagulation kernels.

Classical coagulation equation is included as a special case.

Abstract

We prove uniqueness of measure solutions for a multi-component version of Smoluchowski's coagulation equation. The result is valid for a broad range of coagulation kernels and allows to include a source term. The classical coagulation equation is also covered as a special case.