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Volumn 169, Issue 2, 1999, Pages 559-603

On Space-Time Regularity for the Stochastic Heat Equation on Lie Groups

Author keywords

Harmonic analysis; Lie groups; Parabolic stochastic partial differential equations; Regularity of Gaussian processes

Indexed keywords


EID: 0000405270     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1999.3486     Document Type: Article
Times cited : (13)

References (22)
  • 8
    • 0010297899 scopus 로고
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    • CRC Press, Boca Raton, FL
    • G. Folland, "A Course in Abstract Harmonic Analysis," Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1995.
    • (1995) Studies in Advanced Mathematics
    • Folland, G.1
  • 13
    • 21844514446 scopus 로고
    • A class of quasilinear stochastic partial differential equations of Mc-Kean-Vlasov type with mass conservation
    • P. Kotelenez, A class of quasilinear stochastic partial differential equations of Mc-Kean-Vlasov type with mass conservation, Probab. Theory Related Fields 102 (1995), 159-188.
    • (1995) Probab. Theory Related Fields , vol.102 , pp. 159-188
    • Kotelenez, P.1
  • 14
    • 0001646937 scopus 로고    scopus 로고
    • An analytic approach to SPDEs, stochastic partial differential equations: Six perspectives
    • Amer. Math. Soc., Providence, RI
    • N. V. Krylov, An analytic approach to SPDEs, stochastic partial differential equations: Six perspectives, Math. Surveys Monogr., Vol. 64, pp. 185-242, Amer. Math. Soc., Providence, RI, 1999.
    • (1999) Math. Surveys Monogr. , vol.64 , pp. 185-242
    • Krylov, N.V.1
  • 19
    • 0031574567 scopus 로고    scopus 로고
    • Stochastic evolution equations with a spatially homogeneous Wiener process
    • S. Peszat and J. Zabczyk, Stochastic evolution equations with a spatially homogeneous Wiener process, Stochastic Process. Appl. 72, No. 2 (1997), 187-204.
    • (1997) Stochastic Process. Appl. , vol.72 , Issue.2 , pp. 187-204
    • Peszat, S.1    Zabczyk, J.2
  • 21
    • 0039049771 scopus 로고
    • Fourier series of smooth functions on compact Lie groups
    • M. Sugiura, Fourier series of smooth functions on compact Lie groups, Osaka J. Math. 8 (1971), 33-47.
    • (1971) Osaka J. Math. , vol.8 , pp. 33-47
    • Sugiura, M.1
  • 22
    • 0000659593 scopus 로고
    • An introduction to stochastic partial differential equations
    • "Ecole d'Eté de Probabilités de Saint Flour, XIV," Springer-Verlag, New York/Berlin
    • J. B. Walsh, An introduction to stochastic partial differential equations, in "Ecole d'Eté de Probabilités de Saint Flour, XIV," Lecture Notes in Math., Vol. 1180, pp. 265-438, Springer-Verlag, New York/Berlin, 1986.
    • (1986) Lecture Notes in Math. , vol.1180 , pp. 265-438
    • Walsh, J.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.