A priori estimates for stationary solutions of an activator-inhibitor model due to Gierer and Meinhardt

Tohoku Mathematical Journal

Volumn 34, Issue 1, 1982, Pages 113-132

  Takagi, Izumi ^a  

^a TOKYO METROPOLITAN COLLEGE OF AERONAUTICAL ENGINEERING   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972554513     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178229312     Document Type: Article

References (12)

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3. A. Gierer and H. Meinhardt, A theory of biological pattern formation, Kybernetik 12 (1972), 30-39.
4. K. P. Hadeler, F. Rothe and H. Vogt, Stationary solutions of reaction-diffusion equations, Math. Mech. in the Appl. Scien. 1 (1979), 418-431.
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6. J. Ize, Bifurcation theory for Fredholm operators, Mem. Amer. Math. Soc. Vol. 7 No. 174, 1976.
7. J. P. Keener, Activators and inhibitors in pattern formation, Studies in Appl. Math. 59 (1978), 1-23.
8. H. Meinhardt and A. Gierer, Applications of a theory of biological pattern formation based on lateral inhibition, J. Cell Sci. 15 (1974), 321-346.
9. L. Nirenberg, Topics in Nonlinear Functional Analysis, Lecture Notes, New York University, 1974.
10. Y. Nishiura, Global structure of bifurcating solutions of some reaction-diffusion systems, Research Report, No. 79-12, Kyoto Sangyo University, 1979.
11. P. H. Rabinowitz, Some global results for nonlinear eigenvalue problems, J. Functional Analysis 7 (1971), 487-513.
12. I. Takagi, Stability of bifurcating solutions of the Gierer-Meinhardt system, Tohoku Math. J. 31 (1979), 221-246.