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Destabilization threshold curves for diffusion systems with equal diffusivity under non-diagonal flux boundary conditions
| 1. | Graduate School of Science, Department of Mathematical and Life Sciences, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, 739-8526, Japan |
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H. Amann, Parabolic evolution equations and nonlinear boundary conditions, J. Differential Equations, 72 (1988), 201-269.
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A. Anma and K. Sakamoto, Turing type mechanisms for linear diffusion systems under non-diagonal Robin boundary conditions, SIAM Journal on Mathematical Analysis, 45 (2013), 3611-3628.
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show all references
References:
| [1] |
H. Amann, Parabolic evolution equations and nonlinear boundary conditions, J. Differential Equations, 72 (1988), 201-269.
doi: 10.1016/0022-0396(88)90156-8. |
| [2] |
A. Anma and K. Sakamoto, Turing type mechanisms for linear diffusion systems under non-diagonal Robin boundary conditions, SIAM Journal on Mathematical Analysis, 45 (2013), 3611-3628.
doi: 10.1137/130908270. |
| [3] |
J. M. Arrieta, A. N. Carvalho and A. Rodríguez-Bernal, Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions, J. Differential Equations, 168 (2000), 33-59.
doi: 10.1006/jdeq.2000.3876. |
| [4] |
G. Auchmuty, Steklov eigenproblems and the representation of solutions of elliptic boundary value problems, Numerical Func. Anal. Opt., 25 (2004), 321-348.
doi: 10.1081/NFA-120039655. |
| [5] |
H. Levine and W.-J. Rappel, Membrane-bound Turing patterns, Physical Review E, 72 (2005), 061912, 5pp.
doi: 10.1103/PhysRevE.72.061912. |
| [6] |
J. D. Murray, Mathematical Biology, Biomathematics Texts, Springer-Verlag Berlin Heidelberg, 1989.
doi: 10.1007/978-3-662-08539-4. |
| [7] |
Alan M. Turing, The chemical basis for morphogenesis, Phil. Trans. R. Soc. London, B 273 (1952), 37-72. |
| [8] |
G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge Mathematical Library. Cambridge University Press, Cambridge, 1995. |
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