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Volumn 1, Issue 1, 2007, Pages 299-310

Potential theory for boundary value problems on finite networks

Author keywords

Combinatorial Laplacian; Discrete boundary value problems; Effective resistance; Green function; Schr dinger operators

Indexed keywords


EID: 55349140651     PISSN: 14528630     EISSN: None     Source Type: Journal    
DOI: 10.2298/AADM0701299B     Document Type: Article
Times cited : (12)

References (9)
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    • 0034688468 scopus 로고    scopus 로고
    • Solving boundary value problems on networks using equilibrium measures
    • E. Bendito, A. Carmona, A. M. Encinas: Solving boundary value problems on networks using equilibrium measures. J. Funct. Anal., 171 (2000), 155-176.
    • (2000) J. Funct. Anal. , vol.171 , pp. 155-176
    • Bendito, E.1    Carmona, A.2    Encinas, A.M.3
  • 2
    • 33646344320 scopus 로고    scopus 로고
    • Equilibrium measure, Poisson kernel and effective resistance on networks
    • (V. Kaimanovich, K. Schmidt and W. Woess ed.), Walter de Gruyter
    • E. Bendito, A. Carmona, A. M. Encinas: Equilibrium measure, Poisson kernel and effective resistance on networks in "Random Walks and Geometry" , (V. Kaimanovich, K. Schmidt and W. Woess ed.), 363-376, Walter de Gruyter, 2004.
    • (2004) Random Walks and Geometry , pp. 363-376
    • Bendito, E.1    Carmona, A.2    Encinas, A.M.3
  • 3
    • 33646359993 scopus 로고    scopus 로고
    • Potential Theory for Schrödinger operators on finite networks
    • E. Bendito, A. Carmona, A. M. Encinas: Potential Theory for Schrödinger operators on finite networks. Rev. Mat. Iberoamericana, 21 (2005), 771-818.
    • (2005) Rev. Mat. Iberoamericana , vol.21 , pp. 771-818
    • Bendito, E.1    Carmona, A.2    Encinas, A.M.3
  • 4
    • 17044395097 scopus 로고    scopus 로고
    • Difference equations on weighted graphs
    • A. Bensoussan, J. L. Menaldi: Difference equations on weighted graphs. J. Convex Anal., 12 (2005), 13-44.
    • (2005) J. Convex Anal. , vol.12 , pp. 13-44
    • Bensoussan, A.1    Menaldi, J.L.2
  • 5
    • 25144506689 scopus 로고    scopus 로고
    • ω-harmonic functions and inverse conductivity problems on networks
    • S.-Y. Chung, C. A. Berenstein: ω-harmonic functions and inverse conductivity problems on networks. SIAM J. Appl. Math., 65 (2005), 1200-1226.
    • (2005) SIAM J. Appl. Math. , vol.65 , pp. 1200-1226
    • Chung, S.-Y.1    Berenstein, C.A.2
  • 6
    • 0027625007 scopus 로고
    • Random walks on weighted graphs and applications to on-line algorithms
    • D. Coppersmith, P. Doyle, P. Raghavan, M. Snir: Random walks on weighted graphs and applications to on-line algorithms. J. Assoc. Comput. Mach., 40 (1993), 421-453.
    • (1993) J. Assoc. Comput. Mach. , vol.40 , pp. 421-453
    • Coppersmith, D.1    Doyle, P.2    Raghavan, P.3    Snir, M.4
  • 7
    • 0038404101 scopus 로고    scopus 로고
    • Analysis on fractals
    • Cambridge University Press
    • J. Kigami, "Analysis on fractals" , Cambridge Tracts in Math., vol. 143. Cambridge University Press, 2001.
    • (2001) Cambridge Tracts in Math , vol.143
    • Kigami, J.1
  • 8
    • 0012619569 scopus 로고    scopus 로고
    • The combinatorics of effective resistances and resistive inverses
    • S. Ponzio: The combinatorics of effective resistances and resistive inverses. Inform. and Comput., 147 (1998), 209-223.
    • (1998) Inform. and Comput. , vol.147 , pp. 209-223
    • Ponzio, S.1
  • 9
    • 84974064829 scopus 로고
    • An extension of Foster's network theorem
    • P. Tetali: An extension of Foster's network theorem. Combin. Probab. Comput. 3 (1994), 421-427.
    • (1994) Combin. Probab. Comput. , vol.3 , pp. 421-427
    • Tetali, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.