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Volumn 130, Issue 3, 2000, Pages 591-602

The critical Fujita number for a semilinear heat equation in exterior domains with homogeneous Neumann boundary values

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EID: 23044518390     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500000317     Document Type: Article
Times cited : (36)

References (13)
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    • A Fujita type result for a degenerate Neumann problem in domains with non-compact boundary
    • D. Andreucci and A. Tedeev. A Fujita type result for a degenerate Neumann problem in domains with non-compact boundary. J. Math. Analysis Appl. 231 (1999), 543-567.
    • (1999) J. Math. Analysis Appl. , vol.231 , pp. 543-567
    • Andreucci, D.1    Tedeev, A.2
  • 2
    • 84968483109 scopus 로고
    • On the existence and non-existence of global solutions of reaction-diffusion equations in sectorial domains
    • C. Bandle and H. A. Levine. On the existence and non-existence of global solutions of reaction-diffusion equations in sectorial domains. Trans. Am. Math. Soc. 655 (1989), 595-624.
    • (1989) Trans. Am. Math. Soc. , vol.655 , pp. 595-624
    • Bandle, C.1    Levine, H.A.2
  • 5
    • 0002211669 scopus 로고
    • A Sobolev inequality and Neumann heat kernel estimate for unbounded domains
    • Z. Q. Chen, R. J. Williams and Z. Zhao. A Sobolev inequality and Neumann heat kernel estimate for unbounded domains. Math. Res. Lett. 1 (1994), 177-184.
    • (1994) Math. Res. Lett. , vol.1 , pp. 177-184
    • Chen, Z.Q.1    Williams, R.J.2    Zhao, Z.3
  • 7
    • 84968508643 scopus 로고
    • Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem
    • T.-Y. Lee and W.-M. Ni. Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem. Trans. Am. Math. Soc. 333 (1992), 365-378.
    • (1992) Trans. Am. Math. Soc. , vol.333 , pp. 365-378
    • Lee, T.-Y.1    Ni, W.-M.2
  • 9
    • 0025442951 scopus 로고
    • The role of critical exponents in blowup theorems
    • H. A. Levine. The role of critical exponents in blowup theorems. SIAM Rev. 32 (1990), 269-288.
    • (1990) SIAM Rev. , vol.32 , pp. 269-288
    • Levine, H.A.1
  • 10
    • 0000722446 scopus 로고    scopus 로고
    • Critical exponent and critical blow-up for quasilinear parabolic equations
    • K. Mochizuki and R. Suzuki. Critical exponent and critical blow-up for quasilinear parabolic equations. Israel J. Math. 98 (1997), 141-156.
    • (1997) Israel J. Math. , vol.98 , pp. 141-156
    • Mochizuki, K.1    Suzuki, R.2
  • 12
    • 0346166976 scopus 로고    scopus 로고
    • Critical blow-up for quasilinear parabolic equations in exterior domains
    • R. Suzuki. Critical blow-up for quasilinear parabolic equations in exterior domains. Tokyo J. Math. 19 (1996), 397-409.
    • (1996) Tokyo J. Math. , vol.19 , pp. 397-409
    • Suzuki, R.1
  • 13
    • 0000260828 scopus 로고    scopus 로고
    • Global existence and local continuity of solutions for semilinear parabolic equations
    • Q. S. Zhang. Global existence and local continuity of solutions for semilinear parabolic equations. Commun. PDE 22 (1997), 1529-1557.
    • (1997) Commun. PDE , vol.22 , pp. 1529-1557
    • Zhang, Q.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.