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Volumn 111, Issue 4, 1998, Pages 469-487

Exit time moments, boundary value problems, and the geometry of domains in Euclidean space

Author keywords

Boundary value problems; Diffusion; Exit times; Variational calculus

Indexed keywords


EID: 0040531959     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050174     Document Type: Article
Times cited : (27)

References (16)
  • 1
    • 84990553776 scopus 로고
    • Brownian motion and Harnack inequalities for Schrodinger operators
    • Aizenman, M., Simon, B.: Brownian motion and Harnack inequalities for Schrodinger operators, Comm. Pure and Appl. 35, 209-273 (1982)
    • (1982) Comm. Pure and Appl. , vol.35 , pp. 209-273
    • Aizenman, M.1    Simon, B.2
  • 2
    • 0040469494 scopus 로고
    • A generalization of Dynkin's identity
    • Athreya, K.B., Kurtz, T.G.: A generalization of Dynkin's identity, Ann. of Prob, 1, 570-579 (1973)
    • (1973) Ann. of Prob , vol.1 , pp. 570-579
    • Athreya, K.B.1    Kurtz, T.G.2
  • 4
    • 84974003688 scopus 로고
    • Brownian motion and the fundamental frequency of a drum
    • Banuelos, R., Carroll, T.: Brownian Motion and the Fundamental Frequency of a Drum, Duke Math. J. 75, 575-602 (1994)
    • (1994) Duke Math. J. , vol.75 , pp. 575-602
    • Banuelos, R.1    Carroll, T.2
  • 5
    • 0141821704 scopus 로고    scopus 로고
    • Inradius and integral means for Green's functions and conformal mappings
    • To appear
    • Banuelos, R., Carroll, T., Housworth, E. (To appear), Inradius and Integral Means for Green's Functions and Conformal Mappings, Proc. Amer. Math. Soc.
    • Proc. Amer. Math. Soc.
    • Banuelos, R.1    Carroll, T.2    Housworth, E.3
  • 6
    • 0000680321 scopus 로고
    • Variational formulas on Lipschitz domains
    • Elcrat, A.R., and Miller, K.G. Variational formulas on Lipschitz domains, Trans. AMS. 347, 2667-2689 (1995).
    • (1995) Trans. AMS. , vol.347 , pp. 2667-2689
    • Elcrat, A.R.1    Miller, K.G.2
  • 9
    • 84966236065 scopus 로고
    • The inverse function theorem of Nash and Moser
    • Hamilton, R.S. The inverse function theorem of Nash and Moser, Bull. AMS. 7, 65-222 (1982)
    • (1982) Bull. AMS. , vol.7 , pp. 65-222
    • Hamilton, R.S.1
  • 10
    • 0039876512 scopus 로고
    • Probabilistic representation of the solution of some differntial equations
    • Vilnius 190 (See Math Rev. 3127) v. 32
    • Ha'sminskii, R.Z. Probabilistic representation of the solution of some differntial equations, Proc. 6th All Union Conf. on Theor. Probability and Math. Statist. (Vilnius 190) (See Math Rev. 3127) v. 32, (1966) pg. 632 (1960).
    • (1960) Proc. 6th All Union Conf. on Theor. Probability and Math. Statist. , pp. 632
    • Ha'sminskii, R.Z.1
  • 11
    • 21744442551 scopus 로고    scopus 로고
    • Brownian functionals on hypersurfaces in Euclidean space
    • Kinateder, K.K.J., McDonald, P. Brownian functionals on hypersurfaces in Euclidean space, Proc. Amer Math. Soc. 125, 1815-1822 (1997).
    • (1997) Proc. Amer Math. Soc. , vol.125 , pp. 1815-1822
    • Kinateder, K.K.J.1    McDonald, P.2
  • 13
    • 0039284656 scopus 로고    scopus 로고
    • Stochastic processes - Mathematics and physics
    • Springer Verlag, New York
    • Pinsky, M., Stochastic Processes - Mathematics and Physics, Lecture Notes in Mathematics, vol. 1158, Springer Verlag, New York, pp. 216-233
    • Lecture Notes in Mathematics , vol.1158 , pp. 216-233
    • Pinsky, M.1
  • 16
    • 0001358147 scopus 로고
    • A symmetry problem in potential theory
    • Serrin, J., A symmetry problem in potential theory, Arch. Rat. Mech. and Anal. 43, 304-318 (1971)
    • (1971) Arch. Rat. Mech. and Anal. , vol.43 , pp. 304-318
    • Serrin, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.