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Volumn 15, Issue 10, 2005, Pages 3321-3328

On the existence of patterns for a diffusion equation on a convex domain with nonlinear boundary reaction

Author keywords

Equilibria; Nonlinear Neumann boundary conditions; Reaction diffusion

Indexed keywords


EID: 29244468564     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127405013915     Document Type: Article
Times cited : (4)

References (12)
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    • Amann, H.1
  • 2
    • 0002184444 scopus 로고    scopus 로고
    • Attractors of parabolic problems with nonlinear boundary conditions. Uniform bounds
    • Arrieta, J. M., Carvalho, A. N. & Rodriguez-Bernal, A. [2000] "Attractors of parabolic problems with nonlinear boundary conditions. Uniform bounds," Commun. Part. Diff. Eqs. 25, 1-37.
    • (2000) Commun. Part. Diff. Eqs. , vol.25 , pp. 1-37
    • Arrieta, J.M.1    Carvalho, A.N.2    Rodriguez-Bernal, A.3
  • 3
    • 0003467135 scopus 로고
    • Monographs and Studies in Mathematics, (Pitman Advanced Publishing Program, Boston, MA)
    • Bandle, C. [1980] Isoperimetric Inequalities and Applications, Monographs and Studies in Mathematics, Vol. 7 (Pitman Advanced Publishing Program, Boston, MA).
    • (1980) Isoperimetric Inequalities and Applications , vol.7
    • Bandle, C.1
  • 5
    • 0001731871 scopus 로고
    • Instability results for reaction diffusion equations with Neumann boundary conditions
    • Casten, R. G. & Holland, C. J. [1978] "Instability results for reaction diffusion equations with Neumann boundary conditions," J. Diff. Eqs. 27, 266-273.
    • (1978) J. Diff. Eqs. , vol.27 , pp. 266-273
    • Casten, R.G.1    Holland, C.J.2
  • 6
    • 17444433502 scopus 로고    scopus 로고
    • On equilibrium solutions of diffusion equations with nonlinear boundary conditions
    • Consul, N. [1996] "On equilibrium solutions of diffusion equations with nonlinear boundary conditions," Z. Angew. Math. Phys. 47, 194-209.
    • (1996) Z. Angew. Math. Phys. , vol.47 , pp. 194-209
    • Consul, N.1
  • 7
    • 0033196127 scopus 로고    scopus 로고
    • Stability of local minima and stable nonconstant equilibria
    • Cónsul, N. & Sola-Morales, J. [1999] "Stability of local minima and stable nonconstant equilibria," J. Diff. Eqs. 157, 61-81.
    • (1999) J. Diff. Eqs. , vol.157 , pp. 61-81
    • Cónsul, N.1    Sola-Morales, J.2
  • 9
    • 0003744101 scopus 로고
    • Mathematical Surveys and Monographs, (American Mathematical Society, Providence, RI)
    • Hale, J. K. [1988] Asymptotic Behavior of Dissipative Systems, Mathematical Surveys and Monographs, Vol. 25 (American Mathematical Society, Providence, RI).
    • (1988) Asymptotic Behavior of Dissipative Systems , vol.25
    • Hale, J.K.1
  • 10
    • 85009592686 scopus 로고
    • Asymptotic behavior and stability of solutions of semilinear diffusion equations
    • Matano, H. [1979] "Asymptotic behavior and stability of solutions of semilinear diffusion equations," Publ. Res. Inst. Math. Sci. 15, 401-454.
    • (1979) Publ. Res. Inst. Math. Sci. , vol.15 , pp. 401-454
    • Matano, H.1
  • 12
    • 29244467056 scopus 로고    scopus 로고
    • Shewchuk, J. R. http://www-2.cs.cmu.edu/~quake/triangle.html.
    • Shewchuk, J.R.1


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