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Volumn 232, Issue 2, 1999, Pages 293-311

Nonexistence of positive solutions to a semilinear elliptic system and blow-up estimates for a reaction-diffusion system

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EID: 0001276311     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6273     Document Type: Article
Times cited : (71)

References (12)
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    • Caristi, G.1    Mitidieri, E.2
  • 2
    • 0000199722 scopus 로고
    • Boundedness and blow up for a semilinear reaction-diffusion system
    • Escobedo M., Herrero M. M. Boundedness and blow up for a semilinear reaction-diffusion system. J. Differential Equations. 89:1991;176-202.
    • (1991) J. Differential Equations , vol.89 , pp. 176-202
    • Escobedo, M.1    Herrero, M.M.2
  • 3
    • 0004786223 scopus 로고
    • Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
    • Escobedo M., Levine H. A. Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations. Arch. Rational Mech. Anal. 129:1995;47-100.
    • (1995) Arch. Rational Mech. Anal. , vol.129 , pp. 47-100
    • Escobedo, M.1    Levine, H.A.2
  • 4
    • 0041142145 scopus 로고
    • Blow-up of solutions of nonlinear parabolic equations
    • W. M. Ni, L. A. Peletier, & J. Serrin. New York: Springer-Verlag
    • Friedman A. Blow-up of solutions of nonlinear parabolic equations. Ni W. M., Peletier L. A., Serrin J. Nonlinear Diffusion Equations and their Equilibrium States I. 1988;Springer-Verlag, New York.
    • (1988) Nonlinear Diffusion Equations and Their Equilibrium States I
    • Friedman, A.1
  • 5
    • 0001791346 scopus 로고
    • A single point blow-up for solutions of semilinear parabolic systems
    • Friedman A., Giga Y. A single point blow-up for solutions of semilinear parabolic systems. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34:1987;65-79.
    • (1987) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.34 , pp. 65-79
    • Friedman, A.1    Giga, Y.2
  • 6
    • 84963254785 scopus 로고
    • A Rellich type identity and applications
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    • (1993) Comm. Partial Diff. Equations , vol.18 , pp. 125-171
    • Mitidieri, E.1
  • 8
    • 84972530257 scopus 로고
    • Nonexistence theorems for systems of quasilinear partial differential equations
    • Mitidieri E., Sweers G., van der Vorst R. Nonexistence theorems for systems of quasilinear partial differential equations. Differential Integral Equations. 8:1995;1331-1354.
    • (1995) Differential Integral Equations , vol.8 , pp. 1331-1354
    • Mitidieri, E.1    Sweers, G.2    Van Der Vorst, R.3
  • 10
    • 0004228035 scopus 로고
    • Uniqueness of generalized solutions for a quasilinear degenerate parabolic system
    • Wu Z. Q., Yuan H. J. Uniqueness of generalized solutions for a quasilinear degenerate parabolic system. J. Partial Differential Equations. 8:1995;89-96.
    • (1995) J. Partial Differential Equations , vol.8 , pp. 89-96
    • Wu, Z.Q.1    Yuan, H.J.2
  • 11
    • 0346810124 scopus 로고    scopus 로고
    • Global existence and global nonexistence of solutions to a reaction-diffusion system
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    • Nonlinear Anal.
    • Zheng, S.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.