메뉴 건너뛰기




Volumn 2003, Issue , 2004, Pages 1-12

Blow-up for p-Laplacian parabolic equations

Author keywords

Blow up; First eigenvalue; Global existence; P laplacian parabolic equations

Indexed keywords


EID: 3042575105     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (29)

References (24)
  • 1
  • 2
    • 0000685470 scopus 로고    scopus 로고
    • Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
    • L. Damascelli, Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results, Ann. Inst. H. Poincaré Anal. Non Linéaire 15 (1998), 493-516.
    • (1998) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.15 , pp. 493-516
    • Damascelli, L.1
  • 3
    • 0002800188 scopus 로고    scopus 로고
    • The role of critical exponents in blow-up theorems : The sequel
    • K. Deng and H. A. Levine, The role of critical exponents in blow-up theorems : the sequel, J. Math. Anal. Appl. 243 (2000), 85-126.
    • (2000) J. Math. Anal. Appl. , vol.243 , pp. 85-126
    • Deng, K.1    Levine, H.A.2
  • 7
    • 0040984235 scopus 로고
    • On conditions for there to be no global solutions of a class of quasilinear parabolic equations
    • V. A. Galaktionov, On conditions for there to be no global solutions of a class of quasilinear parabolic equations, Comput. Math. Math. Phys. 22 (1982), 73-90.
    • (1982) Comput. Math. Math. Phys. , vol.22 , pp. 73-90
    • Galaktionov, V.A.1
  • 8
    • 0008709594 scopus 로고
    • Conditions for global nonexistence and localization for a class of nonlinear parabolic equations
    • V. A. Galaktionov, Conditions for global nonexistence and localization for a class of nonlinear parabolic equations, Comput. Math. Math. Phys. 23 (1983), 35-44.
    • (1983) Comput. Math. Math. Phys. , vol.23 , pp. 35-44
    • Galaktionov, V.A.1
  • 9
    • 84973976169 scopus 로고
    • Blow-up for quasilinear heat equations with critical Fujita's exponents
    • V. A. Galaktionov, Blow-up for quasilinear heat equations with critical Fujita's exponents, Proc. Roy. Soc. Edinburgh Sect. A 124 (1994), 517-525.
    • (1994) Proc. Roy. Soc. Edinburgh Sect. A , vol.124 , pp. 517-525
    • Galaktionov, V.A.1
  • 10
    • 0032358512 scopus 로고    scopus 로고
    • A general approach to critical Fujita exponents in nonlinear parabolic problems
    • V. A. Galaktionov and H. A. Levine, A general approach to critical Fujita exponents in nonlinear parabolic problems, Nonlinear Anal. 34 (1998), 1005-1027.
    • (1998) Nonlinear Anal. , vol.34 , pp. 1005-1027
    • Galaktionov, V.A.1    Levine, H.A.2
  • 11
    • 1842692780 scopus 로고    scopus 로고
    • The problem of blow-up in nonlinear parabolic equations
    • V. A. Galaktionov and J. L. Vazquez, The problem of blow-up in nonlinear parabolic equations, Discrete Contin. Dynam. Systems 8(2) (2002), 399-433.
    • (2002) Discrete Contin. Dynam. Systems , vol.8 , Issue.2 , pp. 399-433
    • Galaktionov, V.A.1    Vazquez, J.L.2
  • 12
    • 0025442951 scopus 로고
    • The role of critical exponents in blow-up theorems
    • H. A. Levine, The role of critical exponents in blow-up theorems, SIAM Rev. 32 (1990), 262-288.
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 14
    • 0016983902 scopus 로고
    • Nonexistence of global weak solutions of classes of nonlinear wave and parabolic equations
    • H. A. Levine and L. E. Payne, Nonexistence of global weak solutions of classes of nonlinear wave and parabolic equations J. Math. Anal. Appl. 55 (1976), 329-334.
    • (1976) J. Math. Anal. Appl. , vol.55 , pp. 329-334
    • Levine, H.A.1    Payne, L.E.2
  • 15
    • 0001094693 scopus 로고
    • Some existence and nonexistence theorems for solutions of degenerate parabolic equations
    • H. A. Levine and P. E. Sacks, Some existence and nonexistence theorems for solutions of degenerate parabolic equations, J. Differential Equations 52 (1984), 135-161.
    • (1984) J. Differential Equations , vol.52 , pp. 135-161
    • Levine, H.A.1    Sacks, P.E.2
  • 16
    • 0001648137 scopus 로고
    • A general variational inequality
    • P. Pucci and J. Serrin, A general variational inequality, Indiana U. Math. J. 35 (1986), 681-703.
    • (1986) Indiana U. Math. J. , vol.35 , pp. 681-703
    • Pucci, P.1    Serrin, J.2
  • 17
    • 0035541513 scopus 로고    scopus 로고
    • Blow-up of solutions of nonlinear heat equations in unbounded domains for slowly decaying initial data
    • P. Rouchon, Blow-up of solutions of nonlinear heat equations in unbounded domains for slowly decaying initial data, Z. Angew. Math. Phys. 52 (2001), 1017-1032.
    • (2001) Z. Angew. Math. Phys. , vol.52 , pp. 1017-1032
    • Rouchon, P.1
  • 18
    • 0001423454 scopus 로고
    • Global behavior for a class of nonlinear evolutionary equations
    • P. E. Sacks, Global behavior for a class of nonlinear evolutionary equations, SIAM J. Math. Anal. 16 (1985), 233-250.
    • (1985) SIAM J. Math. Anal. , vol.16 , pp. 233-250
    • Sacks, P.E.1
  • 20
    • 0032360488 scopus 로고    scopus 로고
    • Blow-up in nonlocal reaction-diffusion equations
    • Ph. Souplet, Blow-up in nonlocal reaction-diffusion equations, SIAM J. Math. Anal. 29 (1998), 1301-1334.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1301-1334
    • Souplet, Ph.1
  • 21
    • 0031195373 scopus 로고    scopus 로고
    • Self-similar sub-solutions and blowup for nonlinear parabolic equations
    • Ph. Souplet and F. B. Weissler, Self-similar sub-solutions and blowup 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
  • 22
    • 84981761946 scopus 로고
    • On Harnark type inequalities and their applications to quasilinear elliptic equations
    • N. S. Trudinger, On Harnark type inequalities and their applications to quasilinear elliptic equations, E Comm. Pure Appl. Math. XX (1967), 721-747.
    • (1967) E Comm. Pure Appl. Math. , vol.20 , pp. 721-747
    • Trudinger, N.S.1
  • 23
    • 84988571190 scopus 로고
    • Existence and nonexistence of global solutions for nonlinear parabolic equations
    • M. Tsutsumi, Existence and nonexistence of global solutions for nonlinear parabolic equations, Publ. Res. Inst. Math. Sci. 8 (1972/73), 211-229.
    • (1972) Publ. Res. Inst. Math. Sci. , vol.8 , pp. 211-229
    • Tsutsumi, M.1
  • 24
    • 0011325358 scopus 로고
    • p-2∇u)+ f(∇u, u, x, t)
    • p-2∇u)+ f(∇u, u, x, t), J. Math. Anal. Appl. 172 (1993), 130-146.
    • (1993) J. Math. Anal. Appl. , vol.172 , pp. 130-146
    • Zhao, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.