메뉴 건너뛰기




Volumn 3, Issue 1, 2003, Pages 153-168

Weak solutions and supersolutions in L1 for reaction-diffusion systems

Author keywords

Blowup; Global existence; Parabolic system; Reaction diffusion; Semilinear system

Indexed keywords


EID: 0141461783     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000280300007     Document Type: Conference Paper
Times cited : (61)

References (17)
  • 1
    • 0002970101 scopus 로고
    • Global existence for semilinear parabolic problems
    • AMANN, H., Global existence for semilinear parabolic problems, J. Reine Angew. Math. 360 (1985), 47-83.
    • (1985) J. Reine Angew. Math. , vol.360 , pp. 47-83
    • Amann, H.1
  • 2
    • 84951415984 scopus 로고
    • Problèmes paraboliques semi-linéaires avec données mesures
    • BARAS, P. and PIERRE, M., Problèmes paraboliques semi-linéaires avec données mesures, Applicable Analysis. 18 (1984), 111-149.
    • (1984) Applicable Analysis , vol.18 , pp. 111-149
    • Baras, P.1    Pierre, M.2
  • 4
    • 38249014116 scopus 로고
    • Finite time blow-up for semi-linear reactive-diffusive systems
    • BEBERNES, J. and LACEY, A., Finite time blow-up for semi-linear reactive-diffusive systems, J. Diff. Equ. 95 (1992), 105-129.
    • (1992) J. Diff. Equ. , vol.95 , pp. 105-129
    • Bebernes, J.1    Lacey, A.2
  • 7
    • 84972572538 scopus 로고
    • On a result of K. Masuda concerning reaction-diffusion equations
    • HARAUX, A. and YOUKANA, A., On a result of K. Masuda concerning reaction-diffusion equations, Tôhoku Math. J. 40 (1988), 159-163.
    • (1988) Tôhoku Math. J. , vol.40 , pp. 159-163
    • Haraux, A.1    Youkana, A.2
  • 8
    • 0001243397 scopus 로고
    • Global existence and boundedness in reaction-diffusion systems
    • HOLLIS, S. L., MARTIN, R. H. and PIERRE, M., Global existence and boundedness in reaction-diffusion systems, SIAM J. Math. Ana. 18 (1987), 744-761.
    • (1987) SIAM J. Math. Ana. , vol.18 , pp. 744-761
    • Hollis, S.L.1    Martin, R.H.2    Pierre, M.3
  • 10
    • 0141712651 scopus 로고
    • Ph.D thesis, université de Nancy 1, France
    • 1, Ph.D thesis, université de Nancy 1, France, 1988.
    • (1988) 1
    • Laamri, E.1
  • 11
    • 52449125765 scopus 로고
    • Nonlinear reaction-diffusion systems
    • Nonlinear Equations in the Applied Sciences, W. F. Ames and C. Rogers ed., Ac. Press, New York
    • MARTIN, R. H. and PIERRE, M., Nonlinear reaction-diffusion systems, in Nonlinear Equations in the Applied Sciences, W. F. Ames and C. Rogers ed., Math. Sci. Eng. 185, Ac. Press, New York, 1991.
    • (1991) Math. Sci. Eng. , vol.185
    • Martin, R.H.1    Pierre, M.2
  • 12
    • 21944448575 scopus 로고    scopus 로고
    • Influence of mixed boundary conditions in some reaction-diffusion systems
    • MARTIN, R. H. and PIERRE, M., Influence of mixed boundary conditions in some reaction-diffusion systems, Proc. Roy. Soc. Edinburgh, section A 127 (1997), 1053-1066.
    • (1997) Proc. Roy. Soc. Edinburgh, Section A , vol.127 , pp. 1053-1066
    • Martin, R.H.1    Pierre, M.2
  • 13
    • 0001543307 scopus 로고
    • On the global existence and asymptotic behavior of reaction-diffusion equations
    • MASUDA, K., On the global existence and asymptotic behavior of reaction-diffusion equations, Hokkaido Math. J. 12 (1983), 360-370.
    • (1983) Hokkaido Math. J. , vol.12 , pp. 360-370
    • Masuda, K.1
  • 14
    • 0000753609 scopus 로고
    • Global existence for semilinear parabolic systems
    • MORGAN, J., Global existence for semilinear parabolic systems, SIAM J. Math. Ana. 20 (1989), 1128-1144.
    • (1989) SIAM J. Math. Ana. , vol.20 , pp. 1128-1144
    • Morgan, J.1
  • 15
    • 0141489387 scopus 로고
    • 1-method to prove global existence in some reaction-diffusion systems
    • Pitman Research notes, J.I. Diaz and P.L. Lions ed.
    • 1-method to prove global existence in some reaction-diffusion systems, in "Contributions to Nonlinear Partial Differential Equations", Vol.II, Pitman Research notes, J.I. Diaz and P.L. Lions ed., 155 (1987), 220-231.
    • (1987) "Contributions to Nonlinear Partial Differential Equations", Vol.II , vol.155 , pp. 220-231
    • Pierre, M.1
  • 16
    • 0031489813 scopus 로고    scopus 로고
    • Blow up in reaction-diffusion systems with dissipation of mass
    • PIERRE, M. and SCHMITT, D., Blow up in Reaction-Diffusion Systems with Dissipation of Mass, SIAM J. Math. Ana. 28 no 2. (1997), 259-269.
    • (1997) SIAM J. Math. Ana. , vol.28 , Issue.2 , pp. 259-269
    • Pierre, M.1    Schmitt, D.2
  • 17
    • 0033730117 scopus 로고    scopus 로고
    • Blow up in reaction-diffusion systems with dissipation of mass
    • PIERRE, M. and SCHMITT, D., Blow up in Reaction-Diffusion Systems with Dissipation of Mass, SIAM Review 42 no 1. (2000), 93-106.
    • (2000) SIAM Review , vol.42 , Issue.1 , pp. 93-106
    • Pierre, M.1    Schmitt, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.