메뉴 건너뛰기




Volumn 219, Issue 1, 1998, Pages 125-139

A New Critical Phenomenon for Semilinear Parabolic Problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000268905     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5825     Document Type: Article
Times cited : (59)

References (17)
  • 1
    • 0000377165 scopus 로고
    • Non-negative solutions of linear parabolic equations
    • Aronson D. G. Non-negative solutions of linear parabolic equations. Ann. Scuola Norm. Sup. Pisa. 22:1968;607-694.
    • (1968) Ann. Scuola Norm. Sup. Pisa , vol.22 , pp. 607-694
    • Aronson, D.G.1
  • 3
    • 0031152669 scopus 로고    scopus 로고
    • A nonhomogeneous parabolic semilinear equation
    • Bernard G. A nonhomogeneous parabolic semilinear equation. J. Math Anal. Appl. 210:1997;755-779.
    • (1997) J. Math Anal. Appl. , vol.210 , pp. 755-779
    • Bernard, G.1
  • 5
    • 84871758915 scopus 로고
    • Critére d' existence de solutions positives pour des équations semi-linéaires non monotones
    • Baras P., Pierre M. Critére d' existence de solutions positives pour des équations semi-linéaires non monotones. Ann. Inst. H. Poincaré Anal. Non Linéaire. 2:1985;185-212.
    • (1985) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.2 , pp. 185-212
    • Baras, P.1    Pierre, M.2
  • 8
    • 84956103754 scopus 로고
    • The heat equation on noncompact Riemannian manifolds
    • Grigoryan A. A. The heat equation on noncompact Riemannian manifolds. Math. Sb. 72:1992;47-77.
    • (1992) Math. Sb. , vol.72 , pp. 47-77
    • Grigoryan, A.A.1
  • 9
    • 0039636695 scopus 로고    scopus 로고
    • Nonlinear equations and weighted norm inequality, preprint
    • N. J. Kalton, I. E. Verbitsky, Nonlinear equations and weighted norm inequality, preprint, 1996.
    • (1996)
    • Kalton, N.J.1    Verbitsky, I.E.2
  • 10
    • 0025442951 scopus 로고
    • The role of critical exponents in blowup theorems
    • Levine H. A. 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
  • 11
    • 84968508643 scopus 로고
    • Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem
    • Lee Tzong-Yow, Ni Wei-Ming. Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem. Trans. Amer. Math. Soc. 333:1992;365-378.
    • (1992) Trans. Amer. Math. Soc. , vol.333 , pp. 365-378
    • Lee Tzong-Yow1    Ni Wei-Ming2
  • 12
    • 0000324115 scopus 로고
    • On the parabolic kernel of the Schrödinger operator
    • Li P., Yau S. T. On the parabolic kernel of the Schrödinger operator. Acta Math. 156:1986;153-201.
    • (1986) Acta Math. , vol.156 , pp. 153-201
    • Li, P.1    Yau, S.T.2
  • 13
    • 0025547099 scopus 로고
    • On the critical exponent for reaction-diffusion equations
    • Meier P. On the critical exponent for reaction-diffusion equations. Arch. Rational Mech. Anal. 109:1990;63-71.
    • (1990) Arch. Rational Mech. Anal. , vol.109 , pp. 63-71
    • Meier, P.1
  • 14
    • 0000855213 scopus 로고
    • (nn = 0, its generalizations and applications in geometry
    • (nn = 0, its generalizations and applications in geometry. Indiana Univ. Math. J. 31:1982;493-529.
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 493-529
    • Ni, W.M.1
  • 16
    • 84963021360 scopus 로고
    • A note on Poincare, Sobolev and Harnack inequality, IMRN
    • Saloff-Coste L. A note on Poincare, Sobolev and Harnack inequality, IMRN. Duke Math. J. 2:1992;27-38.
    • (1992) Duke Math. J. , vol.2 , pp. 27-38
    • Saloff-Coste, L.1
  • 17
    • 85009821143 scopus 로고    scopus 로고
    • Nonlinear parabolic problems on manifolds and non-existence result of the non-compact Yamabe problem
    • Zhang Qi. Nonlinear parabolic problems on manifolds and non-existence result of the non-compact Yamabe problem. Elect. Research Announce. Amer. Math. Soc. 3:1997;45-51.
    • (1997) Elect. Research Announce. Amer. Math. Soc. , vol.3 , pp. 45-51
    • Zhang Qi1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.