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Volumn 133, Issue 1, 1997, Pages 152-177

Existence and nonexistence of global solutions for ut = Δu + a(x)up in Rd

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EID: 0030642444     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.3196     Document Type: Article
Times cited : (155)

References (11)
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    • Aronson, D.J.1    Weinberger, H.F.2
  • 2
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    • Remarks on blow-up and nonexistence theorems for nonlinear evolution equations
    • 2. J. M. Ball, Remarks on blow-up and nonexistence theorems for nonlinear evolution equations, Quart. J. Math. Oxford 28 (1977), 473-486.
    • (1977) Quart. J. Math. Oxford , vol.28 , pp. 473-486
    • Ball, J.M.1
  • 3
    • 84968483109 scopus 로고
    • On the existence and nonexistence of global solutions of reaction-diffusion equations in sectorial domains
    • 3. C. Bandle and H. A. Levine, On the existence and nonexistence of global solutions of reaction-diffusion equations in sectorial domains, Trans. Amer. Math. Soc. 316 (1989), 595-622.
    • (1989) Trans. Amer. Math. Soc. , vol.316 , pp. 595-622
    • Bandle, C.1    Levine, H.A.2
  • 5
    • 0002328505 scopus 로고
    • On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations
    • 5. H. Fujita, On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations, Proc. Sympos. Pure Math. 18 (1969), 105-113.
    • (1969) Proc. Sympos. Pure Math. , vol.18 , pp. 105-113
    • Fujita, H.1
  • 6
    • 0000469761 scopus 로고
    • On nonexistence of global solutions of some semilinear parabolic equations
    • 6. K. Hayakawa, On nonexistence of global solutions of some semilinear parabolic equations, Proc. Japan Acad. 49 (1973), 503-525.
    • (1973) Proc. Japan Acad. , vol.49 , pp. 503-525
    • Hayakawa, K.1
  • 7
    • 84972506638 scopus 로고
    • On the blowing up problem for semilinear heat equations
    • 7. K. Kobayashi, T. Siaro, and H. Tanaka, On the blowing up problem for semilinear heat equations, J. Math. Soc. Japan 29 (1977), 407-424.
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    • Kobayashi, K.1    Siaro, T.2    Tanaka, H.3
  • 8
    • 0025442951 scopus 로고
    • The role of critical exponents in blowup theorems
    • 8. H. Levine, The role of critical exponents in blowup theorems, SIAM Rev. 32 (1990), 262-288.
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine, H.1
  • 9
    • 0025551411 scopus 로고
    • The value of the critical exponent for reaction-diffusion equations in cones
    • 9. H. Levine and P. Meier, The value of the critical exponent for reaction-diffusion equations in cones, Arch. Rational Mech. Anal. 109 (1990), 73-80.
    • (1990) Arch. Rational Mech. Anal. , vol.109 , pp. 73-80
    • Levine, H.1    Meier, P.2
  • 11
    • 51249183619 scopus 로고
    • Existence and nonexistence of global solutions for a semilinear heat equation
    • 11. F. B. Weissler, Existence and nonexistence of global solutions for a semilinear heat equation, Israel J. Math. 38 (1981), 29-40.
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    • Weissler, F.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.