메뉴 건너뛰기




Volumn 353, Issue 12, 2001, Pages 5057-5069

Monotonicity of stable solutions in shadow systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 23044528996     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-01-02880-x     Document Type: Article
Times cited : (30)

References (17)
  • 1
    • 84942222028 scopus 로고
    • The zero set of a solution of a parabolic equation
    • MR 89j:35015
    • S. Angenent, The zero set of a solution of a parabolic equation, J. Reine Angew. Math. 390 (1988), 79-96. MR 89j:35015
    • (1988) J. Reine Angew. Math. , vol.390 , pp. 79-96
    • Angenent, S.1
  • 3
    • 0010195359 scopus 로고
    • Asymptotic behavior for solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions
    • MR 51:6151
    • N. Chafee, Asymptotic behavior for solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions, J. Differential Equations 18 (1975), 111-134. MR 51:6151
    • (1975) J. Differential Equations , vol.18 , pp. 111-134
    • Chafee, N.1
  • 4
    • 0032328374 scopus 로고    scopus 로고
    • A strong unique continuation theorem for parabolic equations
    • MR 99h:35078
    • X.-Y. Chen, A strong unique continuation theorem for parabolic equations, Math. Ann. 311 (1998), 603-630. MR 99h:35078
    • (1998) Math. Ann. , vol.311 , pp. 603-630
    • Chen, X.-Y.1
  • 5
    • 50849145650 scopus 로고
    • Convergence, asymptotic periodicity, and finite-point blow-up in one-dimensional semilinear heat equations
    • MR 90e:35018
    • X.-Y. Chen and H. Matano, Convergence, asymptotic periodicity, and finite-point blow-up in one-dimensional semilinear heat equations, J. Differential Equations 78 (1989), 160-190. MR 90e:35018
    • (1989) J. Differential Equations , vol.78 , pp. 160-190
    • Chen, X.-Y.1    Matano, H.2
  • 6
    • 21844491862 scopus 로고
    • Floquet bundles for scalar parabolic equations
    • MR 96e:35070
    • S.-N. Chow, K. Lu, and J. Mallet-Paret, Floquet bundles for scalar parabolic equations, Arch. Rational Mech. Anal. 129 (1995), 245-304. MR 96e:35070
    • (1995) Arch. Rational Mech. Anal. , vol.129 , pp. 245-304
    • Chow, S.-N.1    Lu, K.2    Mallet-Paret, J.3
  • 8
    • 0000095017 scopus 로고
    • Bifurcation and stability of stationary solutions of nonlocal scalar reaction diffusion equations
    • MR 95h:35026
    • P. Freitas, Bifurcation and stability of stationary solutions of nonlocal scalar reaction diffusion equations, J. Dynamics Differential Equations 6 (1994), 613-630. MR 95h:35026
    • (1994) J. Dynamics Differential Equations , vol.6 , pp. 613-630
    • Freitas, P.1
  • 9
    • 84963436232 scopus 로고
    • Shadow systems and attractors in reaction-diffusion equations
    • MR 91a:35091
    • J. K. Hale and K. Sakamoto, Shadow systems and attractors in reaction-diffusion equations, Appl. Anal. 32 (1989), 287-303. MR 91a:35091
    • (1989) Appl. Anal. , vol.32 , pp. 287-303
    • Hale, J.K.1    Sakamoto, K.2
  • 11
    • 0000735195 scopus 로고
    • Spatial homogeneity of stable solutions of some periodic-parabolic problems with Neumann boundary conditions
    • MR88g:35110
    • P. Hess, Spatial homogeneity of stable solutions of some periodic-parabolic problems with Neumann boundary conditions. J. Differential Equations 68 (1987), 320-331. MR88g:35110
    • (1987) J. Differential Equations , vol.68 , pp. 320-331
    • Hess, P.1
  • 12
    • 0003002827 scopus 로고    scopus 로고
    • Diffusion, cross-diffusion, and their spike-layer steady states
    • MR 99a:35132
    • W.-M. Ni, Diffusion, cross-diffusion, and their spike-layer steady states, Notices Amer. Math. Soc. 45 (1998), 9-18. MR 99a:35132
    • (1998) Notices Amer. Math. Soc. , vol.45 , pp. 9-18
    • Ni, W.-M.1
  • 14
    • 0002882425 scopus 로고
    • Coexistence of infinitely many stable solutions to reaction diffusion systems in the singular limit
    • Y. Nishiura, Coexistence of infinitely many stable solutions to reaction diffusion systems in the singular limit, Dynamics Reported 3 (1994), 25-103.
    • (1994) Dynamics Reported , vol.3 , pp. 25-103
    • Nishiura, Y.1
  • 15
    • 0013080113 scopus 로고    scopus 로고
    • Almost automorphic and almost periodic dynamics in skew-product semiflows
    • MR 99d:34088
    • W. Shen and Y. Yi, Almost automorphic and almost periodic dynamics in skew-product semiflows, Mem. Amer. Math. Soc. 647 (1998). MR 99d:34088
    • (1998) Mem. Amer. Math. Soc. , vol.647
    • Shen, W.1    Yi, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.