A critical parabolic estimate and application to nonlocal equations arising in chemotaxis

Gershon Wolansky

Type: Article

Publication Date: 1997-09-01

Citations: 40

DOI: https://doi.org/10.1080/00036819708840588

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+	Stability of solutions of chemotaxis equations in reinforced random walks	2002	Avner Friedman J. Ignacio Tello
+ PDF Chat	Feeding ducks, bacterial chemotaxis, and the Gini index	2015	François J. Peaudecerf Raymond E. Goldstein
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+	On the blow-up of a non-local parabolic problem	2006	Nikos I. Kavallaris D.E. Tzanetis
+	The nonsymmetric case of the Keller-Segel model in chemotaxis: some recent results	2001	Dirk Horstmann
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Works Cited by This (21)

Action	Title	Year	Authors
+ PDF Chat	On explosions of solutions to a system of partial differential equations modelling chemotaxis	1992	Willi Jäger Stephan Luckhaus
+	Traveling bands of chemotactic bacteria: A theoretical analysis	1971	Evelyn Fox Keller Lee A. Segel
+	On steady distributions of self-attracting clusters under friction and fluctuations	1992	Gershon Wolansky
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg
+	Singularity patterns in a chemotaxis model	1996	Miguel A. Herrero J. J. L. Vel�zquez
+	A priori estimates for solutions to nonlinear elliptic equations	1993	Wenxiong Chen Congming Li
+	On the evolution of self-interacting clusters and applications to semilinear equations with exponential nonlinearity	1992	Gershon Wolansky
+	Nonlinear aspects of chemotaxis	1981	Stephen Childress J. K. Percus
+	Curvature Functions for Compact 2-Manifolds	1974	Jerry L. Kazdan F. W. Warner
+	Chemotaxis, signal relaying and aggregation morphology	1973	Vidyanand Nanjundiah