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Volumn 29, Issue 2, 2002, Pages 143-155

Blow-up for a class of nonlinear parabolic problems 1

Author keywords

Admissible solution; Finite time blow up; Gradient term; Nonlinear parabolic equations

Indexed keywords


EID: 0036477899     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (17)
  • 2
    • 0033454325 scopus 로고    scopus 로고
    • Global existence for a degenerate nonlinear diffusion problem with nonlinear gradient term and source
    • F. Andreu, J.M. Mazón, F. Simondon and J. Toledo, Global existence for a degenerate nonlinear diffusion problem with nonlinear gradient term and source, Math. Ann. 314 (1999), 703-728.
    • (1999) Math. Ann. , vol.314 , pp. 703-728
    • Andreu, F.1    Mazón, J.M.2    Simondon, F.3    Toledo, J.4
  • 3
    • 0002554670 scopus 로고
    • Nonuniqueness of solutions of a degenerate parabolic equation
    • M. Bertsch, R. Dal Passo and M. Ughi, Nonuniqueness of solutions of a degenerate parabolic equation, Ann. Mat. Pura Appl. CLXI (1992), 57-81.
    • (1992) Ann. Mat. Pura Appl. , vol.161 , pp. 57-81
    • Bertsch, M.1    Dal Passo, R.2    Ughi, M.3
  • 4
    • 0000581856 scopus 로고
    • Some blow up results for a nonlinear parabolic equation with a gradient term
    • M. Chipot and F.B. Weissler, Some blow up results for a nonlinear parabolic equation with a gradient term, SIAM J. Math. Anal. 20 (1989), 886-907.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 886-907
    • Chipot, M.1    Weissler, F.B.2
  • 5
    • 23044531082 scopus 로고    scopus 로고
    • Admissible solutions for a class of nonlinear parabolic problems with non-negative data
    • E. Feireisl, H. Petzeltová and F. Simondon, Admissible solutions for a class of nonlinear parabolic problems with non-negative data, Proc. Roy. Soc. Edinburg Sect. A 131 (2001), 857-883.
    • (2001) Proc. Roy. Soc. Edinburg Sect. A , vol.131 , pp. 857-883
    • Feireisl, E.1    Petzeltová, H.2    Simondon, F.3
  • 6
    • 84968503362 scopus 로고
    • Remarks on blow up for a nonlinear parabolic equation with a gradient term
    • M. Fila, Remarks on blow up for a nonlinear parabolic equation with a gradient term, Proc. Amer. Math. Soc. 111 (1991), 795-801.
    • (1991) Proc. Amer. Math. Soc. , vol.111 , pp. 795-801
    • Fila, M.1
  • 7
    • 0001659913 scopus 로고
    • Life span of solutions of the Cauchy problem for a semilinear heat equation
    • C. Gui and X. Wang, Life span of solutions of the Cauchy problem for a semilinear heat equation, J. Differential Equations 115 (1995), 166-172.
    • (1995) J. Differential Equations , vol.115 , pp. 166-172
    • Gui, C.1    Wang, X.2
  • 8
    • 0000885478 scopus 로고
    • Observations on blow up and dead core for nonlinear parabolic equations
    • B. Kawohl and L.A. Peletier, Observations on blow up and dead core for nonlinear parabolic equations, Math. Z. 202 (1989), 207-217.
    • (1989) Math. Z. , vol.202 , pp. 207-217
    • Kawohl, B.1    Peletier, L.A.2
  • 9
    • 84988169902 scopus 로고
    • Blow-up for semilinear parabolic equations with a gradient term
    • P. Quittner, Blow-up for semilinear parabolic equations with a gradient term, Math. Methods Appl. Sci. 14 (1991), 413-417.
    • (1991) Math. Methods Appl. Sci. , vol.14 , pp. 413-417
    • Quittner, P.1
  • 10
    • 0001259529 scopus 로고
    • On global existence and stationary solutions for two classes of semilinear parabolic problems
    • P. Quittner, On global existence and stationary solutions for two classes of semilinear parabolic problems, Comm. Math. Univ. Carolinae 34 (1993), 105-124.
    • (1993) Comm. Math. Univ. Carolinae , vol.34 , pp. 105-124
    • Quittner, P.1
  • 11
    • 0001423454 scopus 로고
    • Global behaviour for a class of nonlinear evolution equations
    • P.E. Sacks, Global behaviour for a class of nonlinear evolution equations, SIAM J. Math. Anal. 16 (1985), 233-250.
    • (1985) SIAM J. Math. Anal. , vol.16 , pp. 233-250
    • Sacks, P.E.1
  • 12
    • 0000014046 scopus 로고
    • Résultats d'explosion en temps fini pour une équation de la chaleur non linéaire
    • Ph. Souplet, Résultats d'explosion en temps fini pour une équation de la chaleur non linéaire, C. R. Acad. Sci. Paris 321 (1995), 721-726.
    • (1995) C. R. Acad. Sci. Paris , vol.321 , pp. 721-726
    • Souplet, Ph.1
  • 13
    • 0030282583 scopus 로고    scopus 로고
    • Finite time blow-up for a non-linear parabolic equation with a gradient term and applications
    • Ph. Souplet, Finite time blow-up for a non-linear parabolic equation with a gradient term and applications, Math. Methods Appl. Sci. 19 (1996), 1317-1333.
    • (1996) Math. Methods Appl. Sci. , vol.19 , pp. 1317-1333
    • Souplet, Ph.1
  • 15
    • 0031195373 scopus 로고    scopus 로고
    • Self-similar subsolutions and blow-up for nonlinear parabolic equations
    • Ph. Souplet and F.B. Weissler, Self-similar subsolutions and blow-up for nonlinear parabolic equations, J. Math. Anal. Appl. 212 (1997), 60-74.
    • (1997) J. Math. Anal. Appl. , vol.212 , pp. 60-74
    • Souplet, Ph.1    Weissler, F.B.2
  • 16
    • 0000279967 scopus 로고
    • Blow-up for solutions of some degenerate parabolic equation
    • M. Wiegner, Blow-up for solutions of some degenerate parabolic equation, Differential Integral Equations 7 (1994), 1641-1647.
    • (1994) Differential Integral Equations , vol.7 , pp. 1641-1647
    • Wiegner, M.1
  • 17
    • 0031168091 scopus 로고    scopus 로고
    • A degenerate diffusion equation with a nonlinear source term
    • M. Wiegner, A degenerate diffusion equation with a nonlinear source term, Nonlinear Anal. 28 (1997), 1977-1995.
    • (1997) Nonlinear Anal. , vol.28 , pp. 1977-1995
    • Wiegner, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.