Year: 2011
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 1 : pp. 1–14
Abstract
In this paper, we study a nonlinear hyperbolic-parabolic system modeling some biological phenomena. By semigroup theory and Leray-Schauder fixed point argument, the local existence and uniqueness of the weak solutions for this system are proved. For the spatial dimension N=1, the global existence of the weak solution will be established by the bootstrap argument.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v24.n1.1
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 1 : pp. 1–14
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Hyperbolic-parabolic system
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