메뉴 건너뛰기




Volumn 10, Issue 1, 2000, Pages 85-99

Blow-up on the boundary for the heat equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0009548822     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260050005     Document Type: Article
Times cited : (10)

References (20)
  • 1
    • 84914830669 scopus 로고
    • p bounds of solutions of reaction-diffusion equations
    • p bounds of solutions of reaction-diffusion equations, Comm. in P.D.E. 4 (1979), 827-868.
    • (1979) Comm. in P.D.E. , vol.4 , pp. 827-868
    • Alikakos, N.1
  • 2
    • 38249027201 scopus 로고
    • Parabolic evolution equations and nonlinear boundary conditions
    • H. Amann, Parabolic evolution equations and nonlinear boundary conditions, J. Diff. Equations 72 (1988), 201-269.
    • (1988) J. Diff. Equations , vol.72 , pp. 201-269
    • Amann, H.1
  • 3
    • 0346733641 scopus 로고
    • Private communication
    • H. Amann, Private communication (1989).
    • (1989)
    • Amann, H.1
  • 7
    • 84988159342 scopus 로고
    • The blowup rate for the heat equation with a nonlinear boundary condition
    • M. Fila and P. Quittner, The blowup rate for the heat equation with a nonlinear boundary condition, Math. Methods Appl. Sci. 14 (1991), 197-205.
    • (1991) Math. Methods Appl. Sci. , vol.14 , pp. 197-205
    • Fila, M.1    Quittner, P.2
  • 8
    • 0010873199 scopus 로고
    • Uniform bounds for solutions of a degenerate diffusion equation with nonlinear boundary conditions
    • J. Filo, Uniform bounds for solutions of a degenerate diffusion equation with nonlinear boundary conditions, Comment. Math. Univ. Carolinae 30 (1989), No. 3, 485-495.
    • (1989) Comment. Math. Univ. Carolinae , vol.30 , Issue.3 , pp. 485-495
    • Filo, J.1
  • 9
    • 0008462718 scopus 로고
    • L∞-estimate for nonlinear diffusion equation
    • J. Filo, L∞-estimate for nonlinear diffusion equation, Applicable Analysis 37 (1990), 49-61.
    • (1990) Applicable Analysis , vol.37 , pp. 49-61
    • Filo, J.1
  • 10
    • 0002094230 scopus 로고
    • Local existence and L∞-estimate of weak solutions to a nonlinear degenerate parabolic equation with nonlinear boundary data
    • J. Filo, Local existence and L∞-estimate of weak solutions to a nonlinear degenerate parabolic equation with nonlinear boundary data, PanAmerican Mathematical Journal 4 (1994), No. 3, 1-31.
    • (1994) PanAmerican Mathematical Journal , vol.4 , Issue.3 , pp. 1-31
    • Filo, J.1
  • 11
    • 0000546335 scopus 로고
    • Blow-up of positive solutions of semilinear heat equations
    • A. Friedman and B. McLeod, Blow-up of positive solutions of semilinear heat equations, Indiana Univ. Math. J. 34 (1985), 425-447.
    • (1985) Indiana Univ. Math. J. , vol.34 , pp. 425-447
    • Friedman, A.1    McLeod, B.2
  • 13
    • 0001091789 scopus 로고    scopus 로고
    • Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition
    • B. Hu, Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition, Differ. Int. Equations 9 (1996), 891-901.
    • (1996) Differ. Int. Equations , vol.9 , pp. 891-901
    • Hu, B.1
  • 14
    • 84968468748 scopus 로고
    • The profile near blowup time for solutions of the heat equation with a nonlinear boundary condition
    • B. Hu and H.M. Yin, The profile near blowup time for solutions of the heat equation with a nonlinear boundary condition, Trans. Amer. Math. Soc. 346 (1994), 117-135.
    • (1994) Trans. Amer. Math. Soc. , vol.346 , pp. 117-135
    • Hu, B.1    Yin, H.M.2
  • 15
    • 38249043833 scopus 로고
    • Mixed boundary value problems for elliptic and parabolic equations of second order
    • G.M. Lieberman, Mixed boundary value problems for elliptic and parabolic equations of second order, J. Math. Anal. Appl. 113 (1986), 422-440.
    • (1986) J. Math. Anal. Appl. , vol.113 , pp. 422-440
    • Lieberman, G.M.1
  • 16
    • 0000794393 scopus 로고
    • Maximum estimates for solutions of degenerate parabolic equations in divergence form
    • G.M. Lieberman, Maximum estimates for solutions of degenerate parabolic equations in divergence form, J. Diff. Equations 113 (1994), 543-571.
    • (1994) J. Diff. Equations , vol.113 , pp. 543-571
    • Lieberman, G.M.1
  • 18
    • 0346783673 scopus 로고    scopus 로고
    • Blow up of critical and subcritical norms in semilinear heat equations
    • J. Matos, Blow up of critical and subcritical norms in semilinear heat equations, Adv. Diff. Equations 3 (1998), 497-532.
    • (1998) Adv. Diff. Equations , vol.3 , pp. 497-532
    • Matos, J.1
  • 20
    • 49049144160 scopus 로고
    • p-functionals in reaction-diffusion equations
    • p-functionals in reaction-diffusion equations, J. Diff. Equations 45 (1982), 207-233.
    • (1982) J. Diff. Equations , vol.45 , pp. 207-233
    • Rothe, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.