메뉴 건너뛰기




Volumn , Issue , 2005, Pages 1-9

Existence of global solution for a nonlocal parabolic problem

Author keywords

A nonlocal; Attractor global; Existence; Thermistor

Indexed keywords


EID: 14744306984     PISSN: 14173875     EISSN: 14173875     Source Type: Journal    
DOI: 10.14232/ejqtde.2005.1.1     Document Type: Article
Times cited : (7)

References (15)
  • 1
    • 0042046204 scopus 로고
    • The thermistor problem: Existence, smoothness, uniqueness, blowup
    • S. N. Antontsev and M. Chipot, The thermistor problem: existence, smoothness, uniqueness, blowup. SIAM J. Math. Anal. 25 (1994), 1128-1156.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 1128-1156
    • Antontsev, S.N.1    Chipot, M.2
  • 2
    • 0004050913 scopus 로고    scopus 로고
    • Global existence and finite-time blow-up for a class of nonlocal parabolic problems
    • November
    • J. W. Bebernes, A. A. Lacey: Global existence and finite-time blow-up for a class of nonlocal parabolic problems, Advances in Differencial Equations, Vol. 2, No. 6, pp. 927-953 November 1997.
    • (1997) Advances in Differencial Equations , vol.2 , Issue.6 , pp. 927-953
    • Bebernes, J.W.1    Lacey, A.A.2
  • 3
    • 85006785402 scopus 로고    scopus 로고
    • On the stability of the solution of the themistor problem
    • G. Cimatti: On the stability of the solution of the themistor problem, Applicable Analysis, Vol. 73(3-4), pp. 407-423, 1999.
    • (1999) Applicable Analysis , vol.73 , Issue.3-4 , pp. 407-423
    • Cimatti, G.1
  • 4
    • 14744306903 scopus 로고    scopus 로고
    • Stability and multiplicity of solutions for the thermistor problem
    • G. Cimatti: stability and multiplicity of solutions for the thermistor problem, Annali di Matematica 181, 181-212 (2002).
    • (2002) Annali di Matematica , vol.181 , pp. 181-212
    • Cimatti, G.1
  • 6
    • 27744501960 scopus 로고    scopus 로고
    • Existence of weak solutions for the thermistor problem with degeneracy
    • A. El Hachimi, M.R. Sidi Ammi, Existence of weak solutions for the thermistor problem with degeneracy, EJDE, vol 9(2003), pp. 127-137.
    • (2003) EJDE , vol.9 , pp. 127-137
    • El Hachimi, A.1    Sidi Ammi, M.R.2
  • 7
    • 0008462718 scopus 로고
    • L∞-Estimate for nonlinear diffusion equation
    • J. Filo: L∞-Estimate for nonlinear diffusion equation, Applicable Analysis, Vol 37, pp. 49-61, (1990).
    • (1990) Applicable Analysis , vol.37 , pp. 49-61
    • Filo, J.1
  • 8
    • 84974514475 scopus 로고
    • Thermal runway in a non-local problem modelling ohmic heating, Part I: Model derivation and some special cases
    • A. A. Lacey, Thermal runway in a non-local problem modelling ohmic heating, Part I: Model derivation and some special cases, Euro. Jnl of Applied Mathematics, vol. 6, pp.127-144, 1995.
    • (1995) Euro. Jnl of Applied Mathematics , vol.6 , pp. 127-144
    • Lacey, A.A.1
  • 9
    • 84974253148 scopus 로고
    • Thermal runway in a non-local problem modelling ohmic heating, Part II: General proof of blow-up and asymptotics runways
    • A. A. Lacey, Thermal runway in a non-local problem modelling ohmic heating, Part II: General proof of blow-up and asymptotics runways, Euro. Jnl of Applied Mathematics, vol. 6, pp.201-224, 1995.
    • (1995) Euro. Jnl of Applied Mathematics , vol.6 , pp. 201-224
    • Lacey, A.A.1
  • 12
    • 0003278399 scopus 로고
    • Infinite dimensional dynamical systems in mechanics and physics
    • springer-verlag
    • R. Temam: Infinite dimensional dynamical systems in mechanics and physics. Applied Mathematical Sciences,68 springer-verlag (1988).
    • (1988) Applied Mathematical Sciences , pp. 68
    • Temam, R.1
  • 14
    • 0030451418 scopus 로고    scopus 로고
    • Local and global existence of continuous temperature in electrical heating of conductors
    • X. Xu: Local and global existence of continuous temperature in electrical heating of conductors, Houston Journal of Mathematics, vol 22, No.2,pp. 435-455, (1996).
    • (1996) Houston Journal of Mathematics , vol.22 , Issue.2 , pp. 435-455
    • Xu, X.1
  • 15
    • 0007031201 scopus 로고
    • Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor due to the joule-Thomson effect
    • X. Xu: Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor due to the joule-Thomson effect, Int. J. Math. Math. Sci. 16, pp.125-138 (1993).
    • (1993) Int. J. Math. Math. Sci. , vol.16 , pp. 125-138
    • Xu, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.