메뉴 건너뛰기




Volumn 130, Issue 4, 2000, Pages 877-908

Complete blow-up for quasilinear degenerate parabolic equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 23044520060     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500000482     Document Type: Article
Times cited : (12)

References (23)
  • 1
    • 0001510540 scopus 로고
    • Large time behaviour of solutions of the porous medium equation in bounded domains
    • D. G. Aronson and L. A. Peletier. Large time behaviour of solutions of the porous medium equation in bounded domains. J. Diff. Eqns 39 (1981), 378-412.
    • (1981) J. Diff. Eqns , vol.39 , pp. 378-412
    • Aronson, D.G.1    Peletier, L.A.2
  • 2
    • 0001483956 scopus 로고
    • Stabilization of solutions of a degenerate nonlinear diffusion problem
    • D. G. Aronson, M. G. Crandall and L. A. Peletier. Stabilization of solutions of a degenerate nonlinear diffusion problem. Nonlinear Analysis TMA 6 (1982), 1001-1022.
    • (1982) Nonlinear Analysis TMA , vol.6 , pp. 1001-1022
    • Aronson, D.G.1    Crandall, M.G.2    Peletier, L.A.3
  • 3
    • 0001590177 scopus 로고
    • max for the solution of a semilinear heat equation
    • max for the solution of a semilinear heat equation. J. Funct. Analysis 71 (1987), 142-174.
    • (1987) J. Funct. Analysis , vol.71 , pp. 142-174
    • Baras, P.1    Cohen, L.2
  • 5
    • 0000701823 scopus 로고
    • Positivity versus localization in degenerate diffusion equations
    • M. Bertsch, R. Kersner and L. A. Peletier. Positivity versus localization in degenerate diffusion equations. Nonlinear Analysis TMA 9 (1985), 987-1008.
    • (1985) Nonlinear Analysis TMA , vol.9 , pp. 987-1008
    • Bertsch, M.1    Kersner, R.2    Peletier, L.A.3
  • 6
    • 0002449197 scopus 로고
    • Continuity of weak solutions to a general porous medium equation
    • E. DiBenedetto. Continuity of weak solutions to a general porous medium equation. Indiana Univ. Math. J. 32 (1983), 83-118.
    • (1983) Indiana Univ. Math. J. , vol.32 , pp. 83-118
    • DiBenedetto, E.1
  • 7
    • 0002092378 scopus 로고
    • A boundary modulus of continuity for a class of singular parabolic equations
    • E. DiBenedetto. A boundary modulus of continuity for a class of singular parabolic equations. J. Diff. Eqns 63 (1986), 418-447.
    • (1986) J. Diff. Eqns , vol.63 , pp. 418-447
    • DiBenedetto, E.1
  • 9
    • 21844506741 scopus 로고
    • Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations
    • V. A. Galaktionov and J. L. Vazquez. Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations. Arch. Ration. Mech. Analysis 129 (1995), 225-244.
    • (1995) Arch. Ration. Mech. Analysis , vol.129 , pp. 225-244
    • Galaktionov, V.A.1    Vazquez, J.L.2
  • 10
    • 0031541195 scopus 로고    scopus 로고
    • Continuation of blowup solutions of nonlinear heat equations in several space dimensions
    • V. A. Galaktionov and J. L. Vazquez. Continuation of blowup solutions of nonlinear heat equations in several space dimensions. Commun. Pure Appl. Math. 12 (1997), 1-67.
    • (1997) Commun. Pure Appl. Math. , vol.12 , pp. 1-67
    • Galaktionov, V.A.1    Vazquez, J.L.2
  • 12
    • 0001464964 scopus 로고
    • A bound for global solutions of semilinear heat equations
    • Y. Giga. A bound for global solutions of semilinear heat equations. Commun. Math. Phys. 103 (1986), 415-421.
    • (1986) Commun. Math. Phys. , vol.103 , pp. 415-421
    • Giga, Y.1
  • 13
    • 85008550406 scopus 로고
    • On blow-up of solutions for quasilinear degenerate parabolic equations
    • T. Imai and K. Mochizuki. On blow-up of solutions for quasilinear degenerate parabolic equations. Publ. RIMS, Kyoto Univ. 27 (1991), 695-709.
    • (1991) Publ. RIMS, Kyoto Univ. , vol.27 , pp. 695-709
    • Imai, T.1    Mochizuki, K.2
  • 14
    • 0030363289 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity
    • T. Kawanago. Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity. Ann. Inst. H. Poincaré Analyse Non Linéaire 13 (1996), 1-15.
    • (1996) Ann. Inst. H. Poincaré Analyse Non Linéaire , vol.13 , pp. 1-15
    • Kawanago, T.1
  • 15
    • 0001259596 scopus 로고
    • Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition
    • A. A. Lacey and D. Tzanetis. Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition. IMA J. Appl. Math. 41 (1988), 207-215.
    • (1988) IMA J. Appl. Math. , vol.41 , pp. 207-215
    • Lacey, A.A.1    Tzanetis, D.2
  • 16
    • 0012856953 scopus 로고
    • Global, unbounded solutions to a parabolic equation
    • A. A. Lacey and D. Tzanetis. Global, unbounded solutions to a parabolic equation. J. Diff. Eqns 101 (1993), 80-102.
    • (1993) J. Diff. Eqns , vol.101 , pp. 80-102
    • Lacey, A.A.1    Tzanetis, D.2
  • 17
    • 0003223550 scopus 로고
    • Linear and quasilinear equations of parabolic type
    • Providence, RI: American Mathematical Society
    • O. A. Ladyzenskaja, V. A. Solonikov and N. N. Ural'ceva. Linear and quasilinear equations of parabolic type. Transl. Mathematical Monographs, vol. 23 (Providence, RI: American Mathematical Society, 1968).
    • (1968) Transl. Mathematical Monographs , vol.23
    • Ladyzenskaja, O.A.1    Solonikov, V.A.2    Ural'ceva, N.N.3
  • 18
    • 0025442951 scopus 로고
    • The role of critical exponents in blowup theorems
    • H. A. Levine. The role of critical exponents in blowup theorems. SIAM Rev. 32 (1990), 262-288.
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 20
    • 0001217997 scopus 로고
    • The Cauchy problem and boundary problems for equations of the type of nonlinear filtration
    • in Russian
    • O. A. Oleinik, A. S. Kalashnikov and Chzou Yui-Lin. The Cauchy problem and boundary problems for equations of the type of nonlinear filtration. Izv. Akad. Nauk. SSSR Ser. Math. 22 (1958), 667-704 (in Russian).
    • (1958) Izv. Akad. Nauk. SSSR Ser. Math. , vol.22 , pp. 667-704
    • Oleinik, O.A.1    Kalashnikov, A.S.2    Yui-Lin, C.3
  • 21
    • 0032014990 scopus 로고    scopus 로고
    • Nonexistence of solutions for a degenerate parabolic equation describing imperfect ignition
    • S. Sakaguchi and T. Suzuki. Nonexistence of solutions for a degenerate parabolic equation describing imperfect ignition. Nonlinear Analysis TMA 30 (1998), 665-670.
    • (1998) Nonlinear Analysis TMA , vol.30 , pp. 665-670
    • Sakaguchi, S.1    Suzuki, T.2
  • 22
    • 0032376974 scopus 로고    scopus 로고
    • Interior imperfect ignition cannot occur on a set of positive measure
    • S. Sakaguchi and T. Suzuki. Interior imperfect ignition cannot occur on a set of positive measure. Arch. Ration. Mech. Analysis 142 (1998), 143-154.
    • (1998) Arch. Ration. Mech. Analysis , vol.142 , pp. 143-154
    • Sakaguchi, S.1    Suzuki, T.2
  • 23
    • 0012232839 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of quasilinear parabolic equations with slowly decaying initial data
    • R. Suzuki. Asymptotic behavior of solutions of quasilinear parabolic equations with slowly decaying initial data. Adv. Math. Sci. Appl. 9 (1999), 291-317.
    • (1999) Adv. Math. Sci. Appl. , vol.9 , pp. 291-317
    • Suzuki, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.