Abstract
In this paper, a semilinear elliptic-parabolic PDE system which arises in a two dimensional groundwater flow problem is studied. Existence and uniqueness results are established via theL p − L q a priori estimates and the inverse function theorem.
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Li, S. Global existence for a semilinear differential system. Appl. Math. 10, 387–398 (1995). https://doi.org/10.1007/BF02662494
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DOI: https://doi.org/10.1007/BF02662494