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Article Contents

# Renormalized solutions of an anisotropic reaction-diffusion-advection system with $L^1$ data

• We prove existence of a renormalized solution to a system of nonlinear partial differential equations with anisotropic diffusivities and transport effects, supplemented with initial and Dirichlet boundary conditions. The data are assumed to be merely integrable. This system models the spread of an epidemic disease through a heterogeneous habitat.
Mathematics Subject Classification: Primary: 35K57, 35K55, 92D30.

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