메뉴 건너뛰기




Volumn 27, Issue 2, 1996, Pages 313-340

On Lp-theory of stochastic partial differential equations in the whole spaces

Author keywords

Bessel potentials; Cylindrical white noise; Stochastic equations

Indexed keywords


EID: 0030528986     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141094263317     Document Type: Article
Times cited : (107)

References (21)
  • 1
    • 0038620954 scopus 로고
    • Some results on linear stochastic evolution equations in Hubert spaces by the semi-group method
    • G. DA PRATO, Some results on linear stochastic evolution equations in Hubert spaces by the semi-group method, Stochastic Anal. Appl., 1 (1983), pp. 57-88.
    • (1983) Stochastic Anal. Appl. , vol.1 , pp. 57-88
    • Da Prato, G.1
  • 2
    • 0001207536 scopus 로고
    • A note on stochastic convolution
    • G. DA PRATO AND J. ZABCZYK, A note on stochastic convolution, Stochastic Anal. Appl., 10 (1992), pp. 143-153.
    • (1992) Stochastic Anal. Appl. , vol.10 , pp. 143-153
    • Da Prato, G.1    Zabczyk, J.2
  • 3
    • 0014886852 scopus 로고
    • A real variable lemma and the continuity of paths of some Gaussian processes
    • A. M. GARSIA, E. RODEMICH, AND H. RUMSEY, JR., A real variable lemma and the continuity of paths of some Gaussian processes, Indiana Univ. Math. J., 20 (1970), pp. 565-578.
    • (1970) Indiana Univ. Math. J. , vol.20 , pp. 565-578
    • Garsia, A.M.1    Rodemich, E.2    Rumsey H., Jr.3
  • 6
    • 0002473786 scopus 로고
    • On stochastic equations with respect to semimartingales I
    • I. GYÖNGY AND N. V. KRYLOV, On stochastic equations with respect to semimartingales I, Stochastics, 4 (1980), pp. 1-21.
    • (1980) Stochastics , vol.4 , pp. 1-21
    • Gyöngy, I.1    Krylov, N.V.2
  • 7
    • 84990553608 scopus 로고
    • Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle
    • C. E. KENIG, G. PONCE, AND L. VEGA, Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle, Comm. Pure Appl. Math., 46 (1993), pp. 527-620.
    • (1993) Comm. Pure Appl. Math. , vol.46 , pp. 527-620
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 8
    • 0039991746 scopus 로고
    • On moment estimates for quasiderivatives of solutions of stochastic equations with respect to initial data, and their application
    • in Russian
    • N. V. KRYLOV, On moment estimates for quasiderivatives of solutions of stochastic equations with respect to initial data, and their application, Mat. Sb., 136 (1988), pp. 510-529 (in Russian); Math. USSR Sb., 64 (1989), pp. 505-526 (English translation).
    • (1988) Mat. Sb. , vol.136 , pp. 510-529
    • Krylov, N.V.1
  • 9
    • 0041178974 scopus 로고
    • English translation
    • N. V. KRYLOV, On moment estimates for quasiderivatives of solutions of stochastic equations with respect to initial data, and their application, Mat. Sb., 136 (1988), pp. 510-529 (in Russian); Math. USSR Sb., 64 (1989), pp. 505-526 (English translation).
    • (1989) Math. USSR Sb. , vol.64 , pp. 505-526
  • 10
    • 0002079188 scopus 로고
    • A generalization of the littlewood-paley inequality and some other results related to stochastic partial differential equations
    • _, A generalization of the Littlewood-Paley inequality and some other results related to stochastic partial differential equations, Ulam Quart., 2 (4) (1994), pp. 16-26.
    • (1994) Ulam Quart. , vol.2 , Issue.4 , pp. 16-26
  • 11
    • 21344476900 scopus 로고
    • 2-theory of the Dirichlet problem for SPDEs in general smooth domains
    • 2-theory of the Dirichlet problem for SPDEs in general smooth domains, Probab. Theory Related Fields, 98 (1994), pp. 389-421.
    • (1994) Probab. Theory Related Fields , vol.98 , pp. 389-421
  • 12
    • 0041178970 scopus 로고
    • On the characteristics of degenerate second order parabolic Itô equations
    • in Russian
    • N. V. KRYLOV AND B. L. ROZOVSKII, On the characteristics of degenerate second order parabolic Itô equations, Trudy Sem. Petrovsk., 8 (1982), pp. 153-168 (in Russian); J. Soviet Math., 32 (1986), pp. 336-348 (English translation).
    • (1982) Trudy Sem. Petrovsk. , vol.8 , pp. 153-168
    • Krylov, N.V.1    Rozovskii, B.L.2
  • 13
    • 0038434678 scopus 로고
    • English translation
    • N. V. KRYLOV AND B. L. ROZOVSKII, On the characteristics of degenerate second order parabolic Itô equations, Trudy Sem. Petrovsk., 8 (1982), pp. 153-168 (in Russian); J. Soviet Math., 32 (1986), pp. 336-348 (English translation).
    • (1986) J. Soviet Math. , vol.32 , pp. 336-348
  • 15
    • 0039991750 scopus 로고    scopus 로고
    • On the first initial-boundary problem for SPDEs on domains with limited smoothness at the boundary
    • submitted
    • S. LAPIC, On the first initial-boundary problem for SPDEs on domains with limited smoothness at the boundary, Potential Anal., submitted.
    • Potential Anal.
    • Lapic, S.1
  • 17
    • 0000620797 scopus 로고
    • Long time existence for the heat equation with a noise term
    • C. MUELLER, Long time existence for the heat equation with a noise term, Probab. Theory Related Fields, 90 (1991), pp. 505-517.
    • (1991) Probab. Theory Related Fields , vol.90 , pp. 505-517
    • Mueller, C.1
  • 18
    • 0002707568 scopus 로고
    • White noise driven quasilinear SPDEs with reflection
    • D. NUALART AND E. PARDOUX, White noise driven quasilinear SPDEs with reflection, Probab. Theory Related Fields, 93 (1992), pp. 77-89.
    • (1992) Probab. Theory Related Fields , vol.93 , pp. 77-89
    • Nualart, D.1    Pardoux, E.2
  • 20
    • 0003882442 scopus 로고
    • Birkhäuser, Basel, Boston, Berlin
    • _, Theory of Function Spaces II, Birkhäuser, Basel, Boston, Berlin, 1992.
    • (1992) Theory of Function Spaces II
  • 21
    • 0010586879 scopus 로고
    • An introduction to stochastic partial differential equations
    • Springer-Verlag, Berlin, New York, Heidelberg
    • J. B. WALSH, An introduction to stochastic partial differential equations, Lecture Notes in Math. 1180, Springer-Verlag, Berlin, New York, Heidelberg, 1986.
    • (1986) Lecture Notes in Math. 1180
    • Walsh, J.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.