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Volumn 130, Issue 12, 2002, Pages 3661-3670

Global existence and nonexistence for degenerate parabolic systems

Author keywords

Degenerate parabolic system; Global existence; Global nonexistence

Indexed keywords


EID: 0036898576     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-02-06630-3     Document Type: Conference Paper
Times cited : (15)

References (21)
  • 1
    • 84972990576 scopus 로고
    • Local existence and uniqueness of solutions of degenerate parabolic equations
    • MR 92d:35163
    • J.R. Anderson, Local existence and uniqueness of solutions of degenerate parabolic equations, Comm. Partial Differential Equations 16 (1991), 105-143. MR 92d:35163.
    • (1991) Comm. Partial Differential Equations , vol.16 , pp. 105-143
    • Anderson, J.R.1
  • 2
    • 0012009812 scopus 로고
    • Methods of mathematical physics I, II
    • New York. MR 16:426a; MR 25:4216
    • R. Courant and D. Hilbert, Methods of mathematical physics I, II, Interscience, New York, 1953, 1962. MR 16:426a; MR 25:4216.
    • (1953) Interscience
    • Courant, R.1    Hilbert, D.2
  • 4
    • 0002449197 scopus 로고
    • Continuity of weak solutions to a general porous media equation
    • MR 85c:35010
    • E. DiBenedetto, Continuity of weak solutions to a general porous media equation, Indiana Univ. Math. J. 32 (1983), 83-118. MR 85c:35010.
    • (1983) Indiana Univ. Math. J. , vol.32 , pp. 83-118
    • Dibenedetto, E.1
  • 5
    • 0000964999 scopus 로고    scopus 로고
    • Global and blow-up solutions for nonlinear degenerate parabolic systems with crosswise-diffusion
    • MR 2001b:35181
    • Z.W. Duan and L. Zhou, Global and blow-up solutions for nonlinear degenerate parabolic systems with crosswise-diffusion, J. Math. Anal. Appl. 244 (2000), 263-278. MR 2001b:35181.
    • (2000) J. Math. Anal. Appl. , vol.244 , pp. 263-278
    • Duan, Z.W.1    Zhou, L.2
  • 6
    • 0002259684 scopus 로고
    • Blow-up at the boundary for degenerate semilinear parabolic equations
    • MR 92m:35139
    • M.S. Floater, Blow-up at the boundary for degenerate semilinear parabolic equations, Arch. Rational Mech. Anal. 114 (1991), 57-77. MR 92m:35139.
    • (1991) Arch. Rational Mech. Anal. , vol.114 , pp. 57-77
    • Floater, M.S.1
  • 7
    • 34250131744 scopus 로고
    • Blow-up of solutions of nonlinear degenerate parabolic equations
    • MR 87j:35051
    • A. Friedman and B. McLeod, Blow-up of solutions of nonlinear degenerate parabolic equations, Arch. Rational Mech. Anal. 96 (1987), 55-80. MR 87j:35051.
    • (1987) Arch. Rational Mech. Anal. , vol.96 , pp. 55-80
    • Friedman, A.1    McLeod, B.2
  • 12
    • 0025442951 scopus 로고
    • The role of critical exponents in blowup theorems
    • MR 91j:35135
    • H.A. Levine, The role of critical exponents in blowup theorems, SIAM Review 32 (1990), 262-288. MR 91j:35135.
    • (1990) SIAM Review , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 15
    • 0002438726 scopus 로고
    • A degenerate diffusion problem not in divergence form
    • MR 88k:35091
    • R. Dal Passo and S. Luckhaus, A degenerate diffusion problem not in divergence form, J. Differential Equations 69 (1987), 1-14. MR 88k:35091.
    • (1987) J. Differential Equations , vol.69 , pp. 1-14
    • Dal Passo, R.1    Luckhaus, S.2
  • 17
    • 0001648137 scopus 로고
    • A general variational identity
    • MR 88b:35072
    • P. Pucci and J. Serrin, A general variational identity, Indiana Univ. Math. J. 35 (1986), 681-703. MR 88b:35072.
    • (1986) Indiana Univ. Math. J. , vol.35 , pp. 681-703
    • Pucci, P.1    Serrin, J.2
  • 18
    • 0001423454 scopus 로고
    • Global behavior for a class of nonlinear evolutionary equations
    • MR 86f:35031
    • P.E. Sacks, Global behavior for a class of nonlinear evolutionary equations, SIAM J. Math. Anal. 16 (1985), 233-250. MR 86f:35031.
    • (1985) SIAM J. Math. Anal. , vol.16 , pp. 233-250
    • Sacks, P.E.1
  • 19
    • 0000279967 scopus 로고
    • Blow-up for solutions of some degenerate parabolic equations
    • MR 95b:35120
    • M. Wiegner, Blow-up for solutions of some degenerate parabolic equations, Differential Integral Equations 7 (1994), 1641-1647. MR 95b:35120.
    • (1994) Differential Integral Equations , vol.7 , pp. 1641-1647
    • Wiegner, M.1
  • 20
    • 0034340171 scopus 로고    scopus 로고
    • A nonlinear degenerate diffusion equation not in divergence form
    • MR 2001a:35101
    • S. Wang, M.X. Wang and C.H. Xie, A nonlinear degenerate diffusion equation not in divergence form, Z. Angew. Math. Phys. 51 (2000), 149-159. MR 2001a:35101.
    • (2000) Z. Angew. Math. Phys. , vol.51 , pp. 149-159
    • Wang, S.1    Wang, M.X.2    Xie, C.H.3
  • 21
    • 0012012663 scopus 로고
    • Existence and invariance for convection, dispersion, reaction systems with pressure
    • MR 94i:35100
    • C.H. Xie, T.P. He and G.H. Bai, Existence and invariance for convection, dispersion, reaction systems with pressure, Acta Math. Sci. 12 (1992), 443-456. MR 94i:35100.
    • (1992) Acta Math. Sci. , vol.12 , pp. 443-456
    • Xie, C.H.1    He, T.P.2    Bai, G.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.