Existence and Uniqueness of a Renormalized Solution for a Fairly General Class of Nonlinear Parabolic Problems

By D. Blanchard, François Murat, H. Redwane. 2001

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Renormalized solutions to nonlinear parabolic problems in generalized Musielak–Orlicz spaces (2015, background): “Following the studies for standard Leray-Lions operators (namely under assumption of polynomial growth conditions for the nonlinear term) on renormalized solutions [36, 10, 12], there appeared also results on renormalized solutions for parabolic problems in Orlicz spaces.”
On fractional p-Laplacian parabolic problem with general data (2016, background): “The case of general measure data was studied in [6], [7], where the existence of renormalized solution is obtained.”
Renormalized solutions of an anisotropic reaction-diffusion-advection system with $L^1$ data (2006, methodology): “[7] D. Blanchard and H. Redwane.”
EXISTENCE RESULT FOR NONLINEAR PARABOLIC EQUATIONS WITH LOWER ORDER TERMS (2011, methodology): “Following [3, 4] we recall the definition of a renormalized solution to Problem (2.”