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- W2950492061 abstract "Uniform-in-time bounds of nonnegative classical solutions to reaction-diffusion systems in all space dimension are proved. The systems are assumed to dissipate the total mass and to have locally Lipschitz nonlinearities of at most (slightly super-) quadratic growth. This pushes forward the recent advances concerning global existence of reaction-diffusion systems dissipating mass in which a uniform-in-time bound has been known only in space dimension one or two. As an application, skew-symmetric Lotka-Volterra systems are shown to have unique classical solutions which are uniformly bounded in time in all dimensions with relatively compact trajectories in $C(overline{Omega})^m$." @default.
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- W2950492061 date "2019-06-17" @default.
- W2950492061 modified "2023-10-18" @default.
- W2950492061 title "Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions" @default.
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