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Volumn 31, Issue 2, 2006, Pages 277-291

Strong solutions of stochastic generalized porous media equations: Existence, uniqueness, and ergodicity

Author keywords

Ergodicity; Stochastic porous medium equation; Strong solution

Indexed keywords


EID: 31744446404     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605300500357998     Document Type: Article
Times cited : (77)

References (10)
  • 1
    • 0002293879 scopus 로고
    • The porous medium equation
    • Berlin: Springer
    • Aronson, D. G. (1986). The porous medium equation. Lecture Notes Math. Vol. 1224, Berlin: Springer, pp. 1-46.
    • (1986) Lecture Notes Math. , vol.1224 , pp. 1-46
    • Aronson, D.G.1
  • 2
    • 0001510540 scopus 로고
    • Large time behaviour of solutions of the porous medium equation in bounded domains
    • Aronson, D. G., Peletier, L. A. (1981). Large time behaviour of solutions of the porous medium equation in bounded domains. J. Diff. Equ. 39:378-412.
    • (1981) J. Diff. Equ. , vol.39 , pp. 378-412
    • Aronson, D.G.1    Peletier, L.A.2
  • 4
    • 5644236962 scopus 로고    scopus 로고
    • Invariant measures of stochastic generalized porous medium equations
    • Bogachev, V. I., Da Prato, G., Röckner, M. (2004). Invariant measures of stochastic generalized porous medium equations. Dokl. Math. 396:7-11.
    • (2004) Dokl. Math. , vol.396 , pp. 7-11
    • Bogachev, V.I.1    Da Prato, G.2    Röckner, M.3
  • 5
    • 2942532492 scopus 로고    scopus 로고
    • Weak solutions to stochastic porous media equations
    • Da Prato, G., Röckner, M. (2004). Weak solutions to stochastic porous media equations. J. Evolution Equ. 4:249-271.
    • (2004) J. Evolution Equ. , vol.4 , pp. 249-271
    • Da Prato, G.1    Röckner, M.2
  • 6
    • 31744434811 scopus 로고    scopus 로고
    • Invariant measures for a stochastic porous medium equation
    • H. Kunita, Y. Takanashi, S. Watanabe, eds. Stochastic Analysis and Related Topics, Japan: Math. Soc.
    • Da Prato, G., Röckner, M. (2004). Invariant measures for a stochastic porous medium equation. In: H. Kunita, Y. Takanashi, S. Watanabe, eds. Stochastic Analysis and Related Topics. Advanced in Pure Math. Vol. 41, Japan: Math. Soc., pp. 13-29.
    • (2004) Advanced in Pure Math , vol.41 , pp. 13-29
    • Da Prato, G.1    Röckner, M.2
  • 7
    • 0003317987 scopus 로고
    • Geometry of banach spaces-selected topics
    • Berlin: Springer
    • Diestel, J. (1975). Geometry of Banach Spaces-Selected Topics. Lect. Notes Math. Vol. 485. Berlin: Springer.
    • (1975) Lect. Notes Math. , vol.485
    • Diestel, J.1
  • 8
    • 21244504237 scopus 로고    scopus 로고
    • On kolmogorov's equations for finite-dimensional diffusions
    • Berlin: Springer
    • Krylov, N. V. (1999). On Kolmogorov's Equations for Finite-Dimensional Diffusions. Lecture Notes Math. Vol. 1715. Berlin: Springer, pp. 1-63.
    • (1999) Lecture Notes Math. , vol.1715 , pp. 1-63
    • Krylov, N.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.