The discrete nonlinear breakage equation without mass transfer admits global mass-conserving mild solutions for arbitrary nonnegative symmetric collision kernels whenever the initial data has a finite superlinear moment.
K., A note on the discrete coagulation equations with collisional breakage, Acta Applicandae Mathematicae, 189(5), 2024
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Global Solutions to the Discrete Nonlinear Breakage Equations without Mass Transfer
The discrete nonlinear breakage equation without mass transfer admits global mass-conserving mild solutions for arbitrary nonnegative symmetric collision kernels whenever the initial data has a finite superlinear moment.