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Volumn 97, Issue 1-3, 2007, Pages 129-149

On the Cauchy-Dirichlet problem in the half space for parabolic SPDEs in weighted hoelder spaces

Author keywords

Cauchy Dirichlet problem; Parabolic stochastic partial differential equations; Schauder apriori estimates; Weighted H lder spaces

Indexed keywords

FUNCTIONS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; STOCHASTIC PROGRAMMING; THEOREM PROVING;

EID: 34248589429     PISSN: 01678019     EISSN: 15729036     Source Type: Journal    
DOI: 10.1007/s10440-007-9130-1     Document Type: Article
Times cited : (8)

References (19)
  • 2
    • 34248534016 scopus 로고    scopus 로고
    • Gilbarg, D., Trudinger, N.S.: Elliptic Partial Differential Equations of Second Order. Springer, New York (1983)
    • Gilbarg, D., Trudinger, N.S.: Elliptic Partial Differential Equations of Second Order. Springer, New York (1983)
  • 3
    • 34248518947 scopus 로고    scopus 로고
    • Krylov, N.V.: An analytic approach to SPDEs. In: Stochastic Partial Differential Equations: Six Perspectives. AMS Mathematical Surveys and Monographs, 64, pp. 185-242. AMS, Providence (1999)
    • Krylov, N.V.: An analytic approach to SPDEs. In: Stochastic Partial Differential Equations: Six Perspectives. AMS Mathematical Surveys and Monographs, vol. 64, pp. 185-242. AMS, Providence (1999)
  • 4
    • 0032622914 scopus 로고    scopus 로고
    • A Sobolev space theory of SPDEs with constant coefficients on a half line
    • Krylov, N.V., Lototsky, S.V.: A Sobolev space theory of SPDEs with constant coefficients on a half line. SIAM J. Math. Anal. 30(2), 298-325 (1999)
    • (1999) SIAM J. Math. Anal , vol.30 , Issue.2 , pp. 298-325
    • Krylov, N.V.1    Lototsky, S.V.2
  • 5
    • 0033233494 scopus 로고    scopus 로고
    • A Sobolev space theory of SPDEs with constant coefficients on a half space
    • Krylov, N.V., Lototsky, S.V.: A Sobolev space theory of SPDEs with constant coefficients on a half space. SIAM J. Math. Anal. 31(1), 19-33 (1999)
    • (1999) SIAM J. Math. Anal , vol.31 , Issue.1 , pp. 19-33
    • Krylov, N.V.1    Lototsky, S.V.2
  • 6
    • 0000931460 scopus 로고
    • On the Cauchy problem for linear partial differential equations
    • Krylov, N.V., Rozovskii, B.L.: On the Cauchy problem for linear partial differential equations. Math. USSR Izvestija 11, 1267-1284 (1977)
    • (1977) Math. USSR Izvestija , vol.11 , pp. 1267-1284
    • Krylov, N.V.1    Rozovskii, B.L.2
  • 10
    • 0038673502 scopus 로고    scopus 로고
    • Dirichlet problem for stochastic parabolic equations in smooth domains
    • Lototsky, S.V.: Dirichlet problem for stochastic parabolic equations in smooth domains. Stoch. Stoch. Rep. 68, 145-175 (1999)
    • (1999) Stoch. Stoch. Rep , vol.68 , pp. 145-175
    • Lototsky, S.V.1
  • 12
    • 0034336957 scopus 로고    scopus 로고
    • On the Cauchy problem for parabolic SPDEs in Holder classes
    • Mikulevicius, R.: On the Cauchy problem for parabolic SPDEs in Holder classes. Ann. Probab. 28(1), 74-108 (2000)
    • (2000) Ann. Probab , vol.28 , Issue.1 , pp. 74-108
    • Mikulevicius, R.1
  • 13
    • 0038309517 scopus 로고    scopus 로고
    • On the Cauchy-Dirichlet problem for parabolic SPDEs in half-space in Hölder classes
    • Mikulevicius, R., Pragarauskas, H.: On the Cauchy-Dirichlet problem for parabolic SPDEs in half-space in Hölder classes. Stoch. Process. Appl. 106, 185-222 (2003)
    • (2003) Stoch. Process. Appl , vol.106 , pp. 185-222
    • Mikulevicius, R.1    Pragarauskas, H.2
  • 14
    • 0003466526 scopus 로고
    • Equations aux derivées partielles stochastiques non linéaires monotones
    • thèse. Universitv de Paris Sud, Orsay
    • Pardoux, E.: Equations aux derivées partielles stochastiques non linéaires monotones. Étude de solutions de type Ito: thèse. Universitv de Paris Sud, Orsay (1975)
    • (1975) Étude de solutions de type Ito
    • Pardoux, E.1
  • 15
    • 0001941415 scopus 로고
    • On stochastic partial differential equations
    • Rozovskii, B.L.: On stochastic partial differential equations. Mat. Sbornik 96, 314-341 (1975)
    • (1975) Mat. Sbornik , vol.96 , pp. 314-341
    • Rozovskii, B.L.1
  • 19
    • 0001702452 scopus 로고    scopus 로고
    • Zakai, M.: On the optimal filtering of diffusion processes. Z. Wahrsch. verv. Geb. 11, 230-243 (1969)
    • Zakai, M.: On the optimal filtering of diffusion processes. Z. Wahrsch. verv. Geb. 11, 230-243 (1969)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.