참고문헌
- H. Amann: Dynamic theory of quasilinear parabolic equations, II. Reaction-diffusion systems. Differential and Integral Equations 3 (1990), no. 1, 13-75.
- A. Friedman: Partial differential equations. Holt, Rinehart and Winston, New York, 1969.
- D. Gilbarg & N. Trudinger: Elliptic Partial Differential Equations of Second Order. Springer-Verlag, Berlin, 1983.
- Y. Lou, W.M. Ni & Y.Wu: On the global existence of a cross-diffusion system. Discrete Contin. Dynam. Systems 4 (1998), no. 2, 193-203. https://doi.org/10.3934/dcds.1998.4.193
- L. Nirenberg: On ellipic partial differential equations. Ann. Scuo. Norm. Sup. Pisa 13 (1959), no. 3, 115-162.
- A. Okubo: Diffusion and Ecological Problems : Mathematical Models. Springer-Verlag, Berlin/New York, 1980.
- M.H. Protter & H.F. Weinberger: Maximum Principles in Differential Equations. Prentice-Hall Inc., Englewood Cliffs, 1967.
- N. Shigesada, K. Kawasaki & E. Teramoto: Spatial segregation of interacting species. J. Theo. Biology 79 (1979), 83-99. https://doi.org/10.1016/0022-5193(79)90258-3
- S. Shim: Uniform boundedness and convergence of solutions to the system with cross-diffusions dominated by self-diffusions. Nonlinear Analysis: Real World Applications 4 (2003), 65-86. https://doi.org/10.1016/S1468-1218(02)00014-7
- S. Shim: Global solutions of the cooperative cross-diffusion systems. J. Korean. Soc. Math. Educ. Ser. B: Pure Appl. Math. 22 (2015), 75-90.