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Start Over Author "Corrias L" Topic degenerate parabolic equations
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2. L p and L ∞ a priori estimates for some chemotaxis models and applications to the Cauchy problem

Author

Corrias, L, Perthame, Benoît, Zaag, Hatem, Laboratoire Analyse, Géométrie et Applications (LAGA), Université Paris 8 Vincennes-Saint-Denis (UP8)-Centre National de la Recherche Scientifique (CNRS)-Institut Galilée-Université Paris 13 (UP13), and Zaag, Hatem

Subjects
angiogenesis, Chemotaxis, 92C50, degenerate parabolic equations, 35Q80, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], global weak solutions, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], blow-up AMS subject classifications 35B60, 92C17
Abstract

International audience; In this note, we generalize some a priori estimates from our earlier work concerning two models of chemotaxis. We also give a new L ∞ bound for these models which yields uniqueness for one of them.

Published
2004

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