Establishes refined L^p-based blow-up criteria for triangular SKT cross-diffusion systems via hierarchical structure and tame Sobolev estimates, and proves global existence of non-negative strong solutions for two-species logistic systems in d ≤ 2.
Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
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Refined blow-up criteria and global solutions for triangular cross-diffusion systems
Establishes refined L^p-based blow-up criteria for triangular SKT cross-diffusion systems via hierarchical structure and tame Sobolev estimates, and proves global existence of non-negative strong solutions for two-species logistic systems in d ≤ 2.