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Abstract: We study a hyperbolic?parabolic model of chemotaxis related to tumor angiogenesis in dimensions one and two. We consider diffusions given by the fractional Laplacian and, in particular, we prove the global existence of classical solutions in certain dissipation regimes.
Fuente: Journal of Mathematical Analysis and Applications, Volume 449, Issue 1, 2017, pp 872-883
Publisher: Academic Press Inc.
Publication date: 01/05/2017
Publication type: Article
DOI: 10.1016/j.jmaa.2016.12.050
ISSN: 0022-247X,1096-0813
Spanish project: MTM2014-59488-P
Publication Url: https://doi.org/10.1016/j.jmaa.2016.12.050
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RAFAEL GRANERO BELINCHON
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