Title of article :
On global existence of solutions to a cross-diffusion system
Author/Authors :
Phan Van Tuoc، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
Abstract :
We consider a strongly coupled nonlinear parabolic system which arises in population dynamics in n-dimensional domains
(n 1). We prove the global existence of classical solutions to the system for n<10.
© 2008 Elsevier Inc. All rights reserved.
Keywords :
cross-diffusion , global existence , a priori estimates , Nonlinear parabolic systems , Self-diffusion , Populationdynamics , Gradient estimates
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications