메뉴 건너뛰기




Volumn 1, Issue 5, 1996, Pages 729-752

Global existence and blow up in a parabolic problem with nonlocal dynamical boundary conditions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0007369635     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (18)

References (18)
  • 1
    • 84983679193 scopus 로고
    • A new approach to initial traces in nonlinear filtration, Annales Inst. H. Poincaré
    • D. Andreucci and E. DiBenedetto, A new approach to initial traces in nonlinear filtration, Annales Inst. H. Poincaré, Anal. Non Linéaire, 7 (1990), 305-334.
    • (1990) Anal. Non Linéaire , vol.7 , pp. 305-334
    • Andreucci, D.1    DiBenedetto, E.2
  • 2
    • 84974753812 scopus 로고
    • Diffusion through thin layers with high specific heat
    • P. Colli and J.F. Rodrigues, Diffusion through thin layers with high specific heat, Asymptotic Anal., 3 (1990), 249-263.
    • (1990) Asymptotic Anal. , vol.3 , pp. 249-263
    • Colli, P.1    Rodrigues, J.F.2
  • 3
    • 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
  • 4
    • 0041655601 scopus 로고
    • Solvability of boundary value problems for loaded linear equations with irregular coefficients
    • M.T. Dzhenaliev, Solvability of boundary value problems for loaded linear equations with irregular coefficients, Diff. Uravn., 27 (1991), 1585-1595.
    • (1991) Diff. Uravn. , vol.27 , pp. 1585-1595
    • Dzhenaliev, M.T.1
  • 5
    • 0000401812 scopus 로고
    • Quasilinear parabolic systems with dynamical boundary conditions
    • J. Escher, Quasilinear parabolic systems with dynamical boundary conditions, Comm. P.D.E., 18 (1993), 1309-1364.
    • (1993) Comm. P.D.E. , vol.18 , pp. 1309-1364
    • Escher, J.1
  • 6
    • 0345822233 scopus 로고
    • On quasilinear fully parabolic boundary value problems
    • J. Escher, On quasilinear fully parabolic boundary value problems, Diff. Integral Eqs., 7 (1994), 1325-1343.
    • (1994) Diff. Integral Eqs. , vol.7 , pp. 1325-1343
    • Escher, J.1
  • 7
    • 84972508401 scopus 로고
    • On the qualitative behaviour of some semilinear parabolic problems
    • J. Escher, On the qualitative behaviour of some semilinear parabolic problems, Diff. Integral Eqs., 8 (1995), 247-267.
    • (1995) Diff. Integral Eqs. , vol.8 , pp. 247-267
    • Escher, J.1
  • 8
    • 0002593463 scopus 로고
    • Global existence of a classical solution for a large class of free boundary problems in one space dimension
    • R. Gianni, Global existence of a classical solution for a large class of free boundary problems in one space dimension, Nonlinear Diff. Eqns. Appl., 2 (1995), 291-321.
    • (1995) Nonlinear Diff. Eqns. Appl. , vol.2 , pp. 291-321
    • Gianni, R.1
  • 9
    • 0023573724 scopus 로고
    • Initial boundary value problems from semiconductor device theory
    • K. Gröger, Initial boundary value problems from semiconductor device theory, Zeitschrift Angew. Math. Mech., 67 (1987), 345-355.
    • (1987) Zeitschrift Angew. Math. Mech. , vol.67 , pp. 345-355
    • Gröger, K.1
  • 10
    • 84894525141 scopus 로고
    • Solution of the fifth boundary value problem for a second order parabolic equation in a non-cylindrical region
    • L.I. Kamynin, Solution of the fifth boundary value problem for a second order parabolic equation in a non-cylindrical region, Sibirski Mat. Zh., 9 (1968), 1153-1166.
    • (1968) Sibirski Mat. Zh. , vol.9 , pp. 1153-1166
    • Kamynin, L.I.1
  • 11
    • 84894518497 scopus 로고
    • Applications of parabolic potentials to boundary value problems of mathematical physics II
    • L.I. Kamynin, Applications of parabolic potentials to boundary value problems of mathematical physics II, Diffi. Eqns., 27 (1991), 441-453.
    • (1991) Diffi. Eqns. , vol.27 , pp. 441-453
    • Kamynin, L.I.1
  • 12
    • 84972503877 scopus 로고
    • Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type
    • M. Kirane, Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type, Hokkaido Math. Jour., 21 (1992), 221-229.
    • (1992) Hokkaido Math. Jour. , vol.21 , pp. 221-229
    • Kirane, M.1
  • 15
    • 0001626366 scopus 로고
    • Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equation
    • M.M. Porzio, V. Vespri, Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equation, J. Diffi. Eqns., 103 (1993), 146-178.
    • (1993) J. Diffi. Eqns. , vol.103 , pp. 146-178
    • Porzio, M.M.1    Vespri, V.2
  • 16
    • 0016028311 scopus 로고
    • Degenerate evolution equations and applications
    • R.E. Showalter, Degenerate evolution equations and applications, Indiana Univ. Math. Jour., 23 (1974) 655-677.
    • (1974) Indiana Univ. Math. Jour. , vol.23 , pp. 655-677
    • Showalter, R.E.1
  • 17
    • 0347526957 scopus 로고
    • On boundary conditions containing derivatives of order higher than the order of the equation
    • Transl. in Translations of AMS Series 1 Diff. Eqns., 4, 440-466
    • A. Tikhonov, On boundary conditions containing derivatives of order higher than the order of the equation, Mat. Sbornik, 26 (1950), 35-56; Transl. in Translations of AMS Series 1 Diff. Eqns., 4, 440-466.
    • (1950) Mat. Sbornik , vol.26 , pp. 35-56
    • Tikhonov, A.1
  • 18
    • 3042649511 scopus 로고
    • Teoremi di esistenza per problemi al contorno di quarto e quinto tipo per un'equazione parabolica lineare
    • M. Ughi, Teoremi di esistenza per problemi al contorno di quarto e quinto tipo per un'equazione parabolica lineare, Riv. Mat. Univ. Parma, 5 (1979), 591-606.
    • (1979) Riv. Mat. Univ. Parma , vol.5 , pp. 591-606
    • Ughi, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.