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Global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensions
Author:
Phan Van Tuôc
Journal:
Proc. Amer. Math. Soc. 135 (2007), 3933-3941
MSC (2000):
Primary 35B50, 35K50, 35K55, 35K57
Published electronically:
August 2, 2007
MathSciNet review:
2341943
Full-text PDF Free Access
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Additional Information
Abstract: We consider a strongly coupled nonlinear parabolic system which arises in population dynamics in  -dimensional domains ( ). Global existence of classical solutions under certain restrictions on the coefficients is established.
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Additional Information
Phan Van Tuôc
Affiliation:
School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, Minnesota 55455
Email:
phan@math.umn.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-07-08978-2
PII:
S 0002-9939(07)08978-2
Keywords:
Maximum principles,
cross-diffusion systems,
global existence
Received by editor(s):
April 12, 2006
Received by editor(s) in revised form:
October 8, 2006
Published electronically:
August 2, 2007
Communicated by:
David S. Tartakoff
Article copyright:
© Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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