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math.AP2024
Renormalized and entropy solutions to the general nonlinear parabolic equations in Musielak-Orlicz spaces
Ying Li, Chao Zhang
We study the well-posedness of solutions to the general nonlinear parabolic equations with merely integrable data in time-dependent Musielak-Orlicz spaces. With the help of a densi…
math.AP2023
Entropy solutions to the fully non-local diffusion equations
Ying Li, Chao Zhang
We consider the fully non-local diffusion equations with non-negative -data. Based on the approximation and energy methods, we prove the existence and uniqueness of non-negati…