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Volumn 51, Issue 1, 2000, Pages 149-159

A nonlinear degenerate diffusion equation not in divergence form

Author keywords

Blow up; Degenerate diffusion equation; Global solution; Upper and lower solutions method

Indexed keywords


EID: 0034340171     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/pl00001503     Document Type: Article
Times cited : (42)

References (11)
  • 1
    • 0000338930 scopus 로고
    • Persistence and extinction in single-species reaction-diffusion models
    • Allen L. J. S., Persistence and extinction in single-species reaction-diffusion models, Bull. Math. Biol. 45 (1983), 209-227.
    • (1983) Bull. Math. Biol. , vol.45 , pp. 209-227
    • Allen, L.J.S.1
  • 2
    • 0001724380 scopus 로고
    • Analysis of blowup for a nonlinear degenerate parabolic equation
    • Chen H. W., Analysis of blowup for a nonlinear degenerate parabolic equation, J. Math. Anal. Appl. 192 (1995), 180-193.
    • (1995) J. Math. Anal. Appl. , vol.192 , pp. 180-193
    • Chen, H.W.1
  • 3
    • 34250131744 scopus 로고
    • Blow up of solutions of nonlinear degenerate parabolic equations
    • Friedman A. and Mcleod J. 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, J.B.2
  • 7
    • 0025442951 scopus 로고
    • The role of critial exponents in blowup theorem
    • Levine H. A., The role of critial exponents in blowup theorem, SIAM Rev. 32 (1990), 268-288.
    • (1990) SIAM Rev. , vol.32 , pp. 268-288
    • Levine, H.A.1
  • 9
    • 0002438726 scopus 로고
    • A degenerate diffusion problem not in divergence form
    • Passo R. D. and Luckhaus S., A degenerate diffusion problem not in divergence form, J. Diff. Eqns. 69 (1987), 1-14.
    • (1987) J. Diff. Eqns. , vol.69 , pp. 1-14
    • Passo, R.D.1    Luckhaus, S.2
  • 10
    • 0000279967 scopus 로고
    • Blow-up for solutions of some degenerate parabolic equations
    • Wiegner M., Blow-up for solutions of some degenerate parabolic equations, Diff. and Int. Equations 7 (1994), 1641-1647.
    • (1994) Diff. and Int. Equations , vol.7 , pp. 1641-1647
    • Wiegner, M.1
  • 11
    • 0001094693 scopus 로고
    • Some existence and nonexistence theorems for solutions of degenerate parabolic equations
    • Levine H. A. and Sacks P. E., Some existence and nonexistence theorems for solutions of degenerate parabolic equations, J. Diff. Eqns. 52 (1984), 135-161.
    • (1984) J. Diff. Eqns. , vol.52 , pp. 135-161
    • Levine, H.A.1    Sacks, P.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.