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Volumn 1, Issue 1, 1996, Pages 73-90

Blow up for ut -Δu = g(u) revisited

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EID: 84894549131     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (287)

References (16)
  • 1
    • 0009031283 scopus 로고
    • A criterion fo r blow-up o f solutions to semi-linear heat equations
    • H. Bellout, A criterion fo r blow-up o f solutions to semi-linear heat equations, SIAM J. Math. Anal., 18 (1987), 722-737.
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 722-737
    • Bellout, H.1
  • 3
    • 0016643640 scopus 로고
    • Some continuation and variational methods fo r positive solutions of nonlinear elliptic eigenvalue problems
    • M.G. Crandall and P.H Rabinowitz, Some continuation and variational methods fo r positive solutions of nonlinear elliptic eigenvalue problems, Arch. Rational Mech. Anal., 58 (1975), 207-218.
    • (1975) Arch. Rational Mech. Anal. , vol.58 , pp. 207-218
    • Candall, M.G.1    Rabinowitz, P.H.2
  • 7
    • 0000247179 scopus 로고
    • Some problems in the theory of quasilinear equations
    • I.M. Gel'fand, Some problems in the theory of quasilinear equations, Amer. Math. Soc. Transl., 29 (1963), 295-381.
    • (1963) Amer. Math. Soc. Transl. , vol.29 , pp. 295-381
    • Gel'fand, I.M.1
  • 8
    • 0015557517 scopus 로고
    • Quasilinear Dirichlet problems driven by positive sources
    • D.D. Joseph and T.S. Lundgren, Quasilinear Dirichlet problems driven by positive sources, Arch. Rational Mech. Anal., 49 (1973), 241-269.
    • (1973) Arch. Rational Mech. Anal. , vol.49 , pp. 241-269
    • Joseph, D.D.1    Lundgren, T.S.2
  • 9
    • 51249191546 scopus 로고
    • Schrödinger operators with singular potentials
    • T. Kato, Schrödinger operators with singular potentials, Israel J. Math., 13 (1972), 135-148.
    • (1972) Israel J. Math. , vol.13 , pp. 135-148
    • Kato, T.1
  • 10
    • 0000863427 scopus 로고
    • Some positone problems suggested by nonlinear heat generation
    • H.B. Keller and D.S. Cohen, Some positone problems suggested by nonlinear heat generation, J. Math. Mech., 16 (1967), 1361-1376.
    • (1967) J. Math. Mech. , vol.16 , pp. 1361-1376
    • Keller, H.B.1    Cohen, D.S.2
  • 11
    • 0001723872 scopus 로고
    • Positive solutions of convex nonlinear eigenvalue problems
    • H.B. Keller and J. Keener, Positive solutions of convex nonlinear eigenvalue problems, J. Differ. Eq., 16 (1974), 103-125.
    • (1974) J. Differ. Eq. , vol.16 , pp. 103-125
    • Keller, H.B.1    Keener, J.2
  • 12
    • 0020927931 scopus 로고
    • Mathematical analysis o f thermal runaway fo r spatially inhomogeneous reactions
    • A. Lacey, Mathematical analysis o f thermal runaway fo r spatially inhomogeneous reactions, SIAM J. Appl. Anal., 43 (1983), 1350-1366.
    • (1983) SIAM J. Appl. Anal. , vol.43 , pp. 1350-1366
    • Lacey, A.1
  • 13
    • 84976111246 scopus 로고
    • Global existence and convergence to a singular steady state fo r a semilinear heat equation
    • A. Lacey and D. Tzanetis, Global existence and convergence to a singular steady state fo r a semilinear heat equation, Proc. Royal Soc. Edinburgh Sect. A, 105 (1987), 289-305.
    • (1987) Proc. Royal Soc. Edinburgh Sect. A , vol.105 , pp. 289-305
    • Lacey, A.1    Tzanetis, D.2
  • 14
    • 84972948243 scopus 로고
    • Sur une classe de problèmes non linéaires avec non linéarité positive, croissante,
    • F. Mignot and J.-P. Puel, Sur une classe de problèmes non linéaires avec non linéarité positive, croissante, convexe, Comm. PDE., 5 (1980), 791-836.
    • (1980) convexe. Comm. PDE. , vol.5 , pp. 791-836
    • Mignot, F.1    Puel, J.-P.2
  • 15
    • 0006485312 scopus 로고
    • Équations elliptiques du second ordre à coefficients discontinus
    • Montreal
    • G. Stampacchia, "Équations elliptiques du second ordre à coefficients discontinus," Les Presses de l'Universite de Montreal, Montreal, 1966.
    • (1966) Les Presses de l'Université de Montréal
    • Stampacchia, G.1
  • 16
    • 48549114032 scopus 로고
    • Single point blow-up fo r a semilinear initial value problem
    • F.B. Weissler, Single point blow-up fo r a semilinear initial value problem, J. Diff. Eq., 55 (1984), 204-224.
    • (1984) J. Diff. Eq. , vol.55 , pp. 204-224
    • Weissler, F.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.