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Volumn 256, Issue 2, 2001, Pages 606-624

Nonlinear diffusion equations on unbounded fractal domains

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EID: 0035872058     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7331     Document Type: Article
Times cited : (27)

References (17)
  • 2
    • 0000869325 scopus 로고
    • Transition densities for Brownian motion on the the Sierpínski carpet
    • Barlow M. T., Bass R. F. Transition densities for Brownian motion on the the Sierpínski carpet. Probab. Theory Related Fields. 91:1992;307-330.
    • (1992) Probab. Theory Related Fields , vol.91 , pp. 307-330
    • Barlow M., T.1    Bass R., F.2
  • 3
    • 0033465207 scopus 로고    scopus 로고
    • Brownian motion and harmonic analysis on Sierpínski carpets
    • Barlow M. T., Bass R. F. Brownian motion and harmonic analysis on Sierpínski carpets. Canad. J. Math. 51:1999;673-744.
    • (1999) Canad. J. Math. , vol.51 , pp. 673-744
    • Barlow M., T.1    Bass R., F.2
  • 5
    • 0039132915 scopus 로고    scopus 로고
    • Diffusion on the Sierpínski carpet
    • Singapore: World Scientific. p. 1-34
    • Bass R. F. Diffusion on the Sierpínski carpet. Trends in Probability and Related Analysis. 1997;World Scientific, Singapore. p. 1-34.
    • (1997) Trends in Probability and Related Analysis
    • Bass R., F.1
  • 8
    • 21844490714 scopus 로고
    • Transition density estimates for Brownian motion on affine nested fractals
    • Fitzsimmons P. J., Hambly B. M., Kumagai T. Transition density estimates for Brownian motion on affine nested fractals. Comm. Math. Phys. 165:1994;595-620.
    • (1994) Comm. Math. Phys. , vol.165 , pp. 595-620
    • Fitzsimmons P., J.1    Hambly B., M.2    Kumagai, T.3
  • 10
    • 0000650977 scopus 로고
    • On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations
    • Providence: Amer. Math. Soc. p. 138-161
    • Fujita H. On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations. Proc. Sympos. Pure Math. 1968;Amer. Math. Soc. Providence. p. 138-161.
    • (1968) Proc. Sympos. Pure Math.
    • Fujita, H.1
  • 12
    • 0002832308 scopus 로고
    • On a spectral analysis for the Sierpínski gasket
    • Fukushima M., Shima T. On a spectral analysis for the Sierpínski gasket. Potential Anal. 1:1992;1-35.
    • (1992) Potential Anal. , vol.1 , pp. 1-35
    • Fukushima, M.1    Shima, T.2
  • 13
    • 0001569543 scopus 로고    scopus 로고
    • Transition density estimates for diffusion processes on post critically finite self-similar fractals
    • Hambly B. M., Kumagai T. Transition density estimates for diffusion processes on post critically finite self-similar fractals. Proc. London Math. Soc. (3). 79:1999;431-458.
    • (1999) Proc. London Math. Soc. (3) , vol.79 , pp. 431-458
    • Hambly B., M.1    Kumagai, T.2
  • 14
    • 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;262-288.
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine H., A.1
  • 17
    • 51249183619 scopus 로고
    • Existence and non-existence of global solutions for a semilinear heat equation
    • Weissler F. B. Existence and non-existence of global solutions for a semilinear heat equation. Israel J. Math. 38:1981;29-40.
    • (1981) Israel J. Math. , vol.38 , pp. 29-40
    • Weissler F., B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.