메뉴 건너뛰기




Volumn 7, Issue 4, 2006, Pages 597-609

A degenerate parabolic system with self-diffusion for a mutualistic model in ecology

Author keywords

Blowup; Competition; Degenerate diffusion system; Global solution

Indexed keywords

BIODIVERSITY; BOUNDARY CONDITIONS; COMPETITION; ECOLOGY; PROBLEM SOLVING;

EID: 33646124248     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2005.03.020     Document Type: Article
Times cited : (15)

References (18)
  • 1
    • 0001724380 scopus 로고
    • Analysis of blow-up for a nonlinear parabolic equation
    • Chen H.W. Analysis of blow-up for a nonlinear parabolic equation. J. Math. Anal. Appl. 192 (1995) 180-193
    • (1995) J. Math. Anal. Appl. , vol.192 , pp. 180-193
    • Chen, H.W.1
  • 2
    • 0000964999 scopus 로고    scopus 로고
    • Global and blow-up solutions for nonlinear degenerate parabolic systems with crosswise-diffusion
    • Duan Z.W., and Zhou L. Global and blow-up solutions for nonlinear degenerate parabolic systems with crosswise-diffusion. J. Math. Anal. Appl. 244 (2000) 263-278
    • (2000) J. Math. Anal. Appl. , vol.244 , pp. 263-278
    • Duan, Z.W.1    Zhou, L.2
  • 3
    • 34250131744 scopus 로고
    • Blow-up of solutions of nonlinear degenerate parabolic equations
    • Friedman A., and McLeod B. Blow-up of solutions of nonlinear degenerate parabolic equations. Arch. Rational Mech. Anal. 96 (1987) 55-80
    • (1987) Arch. Rational Mech. Anal. , vol.96 , pp. 55-80
    • Friedman, A.1    McLeod, B.2
  • 6
    • 0000469761 scopus 로고
    • On the nonexistence of global solutions of some semilinear parabolic equations
    • Hayakawa K. On the nonexistence of global solutions of some semilinear parabolic equations. Proc. Japan Acad. 49 (1973) 503-525
    • (1973) Proc. Japan Acad. , vol.49 , pp. 503-525
    • Hayakawa, K.1
  • 8
    • 0035392126 scopus 로고    scopus 로고
    • On diffusion-induced blowups in a mutualistic model
    • Lou Y., Nagylaki T., and Ni W.M. On diffusion-induced blowups in a mutualistic model. Nonlinear Anal. TMA 45 (2001) 329-342
    • (2001) Nonlinear Anal. TMA , vol.45 , pp. 329-342
    • Lou, Y.1    Nagylaki, T.2    Ni, W.M.3
  • 11
    • 0030584597 scopus 로고    scopus 로고
    • Dynamics of nonlinear parabolic systems with time delays
    • Pao C.V. Dynamics of nonlinear parabolic systems with time delays. J. Math. Anal. Appl. 198 (1996) 751-779
    • (1996) J. Math. Anal. Appl. , vol.198 , pp. 751-779
    • Pao, C.V.1
  • 12
    • 0036814458 scopus 로고    scopus 로고
    • Some degenerate and quasilinear parabolic system not in divergence form
    • Wang M.X. Some degenerate and quasilinear parabolic system not in divergence form. J. Math. Anal. Appl. 274 (2002) 424-436
    • (2002) J. Math. Anal. Appl. , vol.274 , pp. 424-436
    • Wang, M.X.1
  • 13
    • 0034340171 scopus 로고    scopus 로고
    • A nonlinear degenerate diffusion equation not in divergence form
    • Wang S., Wang M.X., and Xie C.H. A nonlinear degenerate diffusion equation not in divergence form. Z. Angew. Math. Phys. 51 (2000) 149-159
    • (2000) Z. Angew. Math. Phys. , vol.51 , pp. 149-159
    • Wang, S.1    Wang, M.X.2    Xie, C.H.3
  • 14
    • 0033126123 scopus 로고    scopus 로고
    • Diffusion-induced blowup in a system with equal diffusions
    • Weinberger H.F. Diffusion-induced blowup in a system with equal diffusions. J. Differential Equations 154 (1999) 225-237
    • (1999) J. Differential Equations , vol.154 , pp. 225-237
    • Weinberger, H.F.1
  • 15
    • 0000279967 scopus 로고    scopus 로고
    • Wiegner, M., 1994. Blow-up for solutions of some degenerate parabolic equations. Differential Integral Equations. 7, 1641-1167.
  • 16
    • 0037173606 scopus 로고    scopus 로고
    • A critical exponent in a degenerate parabolic equation
    • Wiegner M. A critical exponent in a degenerate parabolic equation. Math. Methods Appl. Sci. 25 (2002) 911-925
    • (2002) Math. Methods Appl. Sci. , vol.25 , pp. 911-925
    • Wiegner, M.1
  • 17
    • 0041656339 scopus 로고    scopus 로고
    • Blow-up of solutions to a degenerate parabolic equation not in divergence form
    • Wiegner M. Blow-up of solutions to a degenerate parabolic equation not in divergence form. J. Differential Equations 192 (2003) 445-472
    • (2003) J. Differential Equations , vol.192 , pp. 445-472
    • Wiegner, M.1
  • 18
    • 0000489455 scopus 로고
    • Global solutions for quasilinear parabolic systems with cross-diffusion effect
    • Yamada Y. Global solutions for quasilinear parabolic systems with cross-diffusion effect. Nonlinear Anal. 24 (1995) 1395-1412
    • (1995) Nonlinear Anal. , vol.24 , pp. 1395-1412
    • Yamada, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.