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Volumn 28, Issue 1-2, 2003, Pages 223-247

Blow up for reaction diffusion equations under dynamical boundary conditions

Author keywords

Blow up; Dynamical boundary conditions; Nonlinear parabolic problems

Indexed keywords


EID: 0037797115     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-120019380     Document Type: Article
Times cited : (23)

References (14)
  • 1
    • 0000461055 scopus 로고
    • Remarks on blow-up and nonexistence theorems for nonlinear evolution equations
    • Ball JM. Remarks on blow-up and nonexistence theorems for nonlinear evolution equations. Quart J Math Oxford 1977; 28(2):473-486.
    • (1977) Quart J Math Oxford , vol.28 , Issue.2 , pp. 473-486
    • Ball, J.M.1
  • 2
    • 0038586039 scopus 로고
    • An existence result for semilinear parabolic network equations with dynamical node conditions
    • Bandle C, Bemelmans J, Chipot M, Grüter M, et Saint Jean Paulin J. Eds. Progress in partial differential equations: elliptic and parabolic problems, Longman Harlow Essex
    • von Below J. An existence result for semilinear parabolic network equations with dynamical node conditions. In: Bandle C, Bemelmans J, Chipot M, Grüter M, et Saint Jean Paulin J. Eds. Progress in partial differential equations: elliptic and parabolic problems. Pitman Research Notes in Math Ser 266, Longman Harlow Essex, 1992; 274-283.
    • (1992) Pitman Research Notes in Math Ser , vol.266 , pp. 274-283
    • Von Below, J.1
  • 4
    • 0002986920 scopus 로고    scopus 로고
    • Dynamical interface transition in ramified media with diffusion
    • von Below J, Nicaise S. Dynamical interface transition in ramified media with diffusion. Comm Partial Differential Equations 1996; 21:255-279.
    • (1996) Comm Partial Differential Equations , vol.21 , pp. 255-279
    • Von Below, J.1    Nicaise, S.2
  • 5
    • 0037909853 scopus 로고    scopus 로고
    • A qualitative theory for parabolic problems under dynamical boundary conditions
    • von Below J, De Coster C. A qualitative theory for parabolic problems under dynamical boundary conditions. Journal of Inequalities and Applications 2000; 5:467-486.
    • (2000) Journal of Inequalities and Applications , vol.5 , pp. 467-486
    • Von Below, J.1    De Coster, C.2
  • 6
    • 38249029357 scopus 로고
    • Blow-up of solutions of nonlinear heat equations
    • Caffarrelli LA, Friedman A. Blow-up of solutions of nonlinear heat equations. J Math Anal Appl 1988; 129:409-419.
    • (1988) J Math Anal Appl , vol.129 , pp. 409-419
    • Caffarrelli, L.A.1    Friedman, A.2
  • 7
    • 0000401812 scopus 로고
    • Quasilinear parabolic systems with dynamical boundary conditions
    • Escher J. Quasilinear parabolic systems with dynamical boundary conditions. Comm Partial Differential Equations 1993; 18:1309-1364.
    • (1993) Comm Partial Differential Equations , vol.18 , pp. 1309-1364
    • Escher, J.1
  • 8
    • 0000546335 scopus 로고
    • Blow up of positive solutions of semilinear heat equations
    • Friedman A, McLeod B. Blow up of positive solutions of semilinear heat equations. Indiana Univ Math J 1985; 34:425-447.
    • (1985) Indiana Univ Math J , vol.34 , pp. 425-447
    • Friedman, A.1    McLeod, B.2
  • 9
    • 84971154318 scopus 로고
    • Evolution equations with dynamic boundary conditions
    • Hintermann T. Evolution equations with dynamic boundary conditions. Proc Royal Soc Edinburgh 1989; 113A:43-60.
    • (1989) Proc Royal Soc Edinburgh , vol.113 A , pp. 43-60
    • Hintermann, T.1
  • 11
    • 0038586037 scopus 로고
    • Blow-up of solutions of a class of nonlinear parabolic equations
    • Lishang J, Zhenbu Z. Blow-up of solutions of a class of nonlinear parabolic equations. J Partial Differential Equations 1991; 4:35-50.
    • (1991) J Partial Differential Equations , vol.4 , pp. 35-50
    • Lishang, J.1    Zhenbu, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.