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We introduce a generalized concept of solutions for reaction-diffusionsystems and prove their global existence. The only restriction on the reactionfunction beyond regularity, quasipositivity and mass control is special in thatit merely controls the growth of cross-absorptive terms. The result coversnonlinear diffusion and does not rely on an entropy estimate.

Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects