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Volumn 64, Issue , 2005, Pages 391-402

Liouville type theorems and complete blow-up for indefinite superlinear parabolic equations

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EID: 85015493292     PISSN: 14211750     EISSN: 23740280     Source Type: Book Series    
DOI: 10.1007/3-7643-7385-7_22     Document Type: Chapter
Times cited : (23)

References (21)
  • 2
    • 0001030383 scopus 로고    scopus 로고
    • A priori bounds and multiple solutions for superlinear indefinite elliptic problems
    • H. Amann, J. López-Gómez, A priori bounds and multiple solutions for superlinear indefinite elliptic problems, J. Differential Equations 146 (1998), 336–374.
    • (1998) J. Differential Equations , vol.146 , pp. 336-374
    • Amann, H.1    López-Gómez, J.2
  • 3
    • 0001590177 scopus 로고
    • max for the solution of a semilinear heat equation
    • max for the solution of a semilinear heat equation, J. Funct. Anal. 71 (1987), 142–174.
    • (1987) J. Funct. Anal. , vol.71 , pp. 142-174
    • Baras, P.1    Cohen, L.2
  • 6
    • 84974004406 scopus 로고
    • Classification of solutions of some nonlinear elliptic equations
    • W. Chen and C. Li, Classification of solutions of some nonlinear elliptic equations, Duke Math. J. 63 (1991), 615–622.
    • (1991) Duke Math. J , vol.63 , pp. 615-622
    • Chen, W.1    Li, C.2
  • 7
    • 0031534416 scopus 로고    scopus 로고
    • Indefinite elliptic problems in a domain
    • W. Chen and C. Li, Indefinite elliptic problems in a domain, Discrete Contin. Dyn. Syst. 3 (1997), 333–340.
    • (1997) Discrete Contin. Dyn. Syst. , vol.3 , pp. 333-340
    • Chen, W.1    Li, C.2
  • 8
    • 32344448898 scopus 로고    scopus 로고
    • Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations
    • Y. Du and S. Li, Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations, Adv. Differential Equations 10 (2005), 841–860.
    • (2005) Adv. Differential Equations , vol.10 , pp. 841-860
    • Du, Y.1    Li, S.2
  • 10
    • 0031541195 scopus 로고    scopus 로고
    • Continuation of blow-up solutions of nonlinear heat equations in several space dimensions
    • V. Galaktionov and J.L. Vázquez, Continuation of blow-up solutions of nonlinear heat equations in several space dimensions, Comm. Pure Appl. Math. 50 (1997), 1–67.
    • (1997) Comm. Pure Appl. Math , vol.50 , pp. 1-67
    • Galaktionov, V.1    Vázquez, J.L.2
  • 11
    • 84939873114 scopus 로고
    • A priori bounds for positive solutions of nonlinear elliptic equations
    • B. Gidas and J. Spruck, A priori bounds for positive solutions of nonlinear elliptic equations, Comm. Partial Differential Equations 6 (1981), 883–901.
    • (1981) Comm. Partial Differential Equations , vol.6 , pp. 883-901
    • Gidas, B.1    Spruck, J.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, Comm. Math. Phys. 103 (1986), 415–421.
    • (1986) Comm. Math. Phys. , vol.103 , pp. 415-421
    • Giga, Y.1
  • 13
    • 3042688935 scopus 로고    scopus 로고
    • Blow up rate for semilinear heat equation with subcritical nonlinearity
    • Y. Giga, S. Matsui and S. Sasayama, Blow up rate for semilinear heat equation with subcritical nonlinearity, Indiana Univ. Math. J. 53 (2004), 483–514.
    • (2004) Indiana Univ. Math. J. , vol.53 , pp. 483-514
    • Giga, Y.1    Matsui, S.2    Sasayama, S.3
  • 15
    • 0032338170 scopus 로고    scopus 로고
    • Optimal estimates for blowup rate and behavior for nonlinear heat equations
    • F. Merle and H. Zaag, Optimal estimates for blowup rate and behavior for nonlinear heat equations, Comm. Pure Appl. Math. 51 (1998), 139–196.
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 139-196
    • Merle, F.1    Zaag, H.2
  • 16
    • 0142259302 scopus 로고    scopus 로고
    • Universal blow-up rates for a semilinear heat equation and applications
    • J. Matos and Ph. Souplet, Universal blow-up rates for a semilinear heat equation and applications, Adv. Differential Equations 8 (2003), 615–639.
    • (2003) Adv. Differential Equations , vol.8 , pp. 615-639
    • Matos, J.1    Souplet, P.2
  • 18
    • 10944228552 scopus 로고    scopus 로고
    • A Liouville property and quasiconvergence for a semilinear heat equation
    • P. Poláčik and E. Yanagida, A Liouville property and quasiconvergence for a semilinear heat equation, J. Differential Equations 208 (2005), 194–214.
    • (2005) J. Differential Equations , vol.208 , pp. 194-214
    • Poláčik, P.1    Yanagida, E.2
  • 19
    • 0041737982 scopus 로고    scopus 로고
    • Continuity of the blow-up time and a priori bounds for solutions in superlinear parabolic problems
    • P. Quittner, Continuity of the blow-up time and a priori bounds for solutions in superlinear parabolic problems, Houston J. Math. 29 (2003), 757–799.
    • (2003) Houston J. Math , vol.29 , pp. 757-799
    • Quittner, P.1
  • 20
    • 14844299751 scopus 로고    scopus 로고
    • A priori bounds and complete blow-up of positive solutions of indefinite superlinear parabolic problems
    • P. Quittner and F. Simondon, A priori bounds and complete blow-up of positive solutions of indefinite superlinear parabolic problems, J. Math. Anal. Appl. 304 (2005), 614–631.
    • (2005) J. Math. Anal. Appl. , vol.304 , pp. 614-631
    • Quittner, P.1    Simondon, F.2
  • 21
    • 0038784323 scopus 로고    scopus 로고
    • A priori estimates of global solutions of superlinear parabolic problems without variational structure
    • P. Quittner and Ph. Souplet, A priori estimates of global solutions of superlinear parabolic problems without variational structure, Discrete Contin. Dyn. Syst. 9 (2003), 1277–1292.
    • (2003) Discrete Contin. Dyn. Syst. , vol.9 , pp. 1277-1292
    • Quittner, P.1    Souplet, P.2


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