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Volumn 116, Issue 12, 2006, Pages 1677-1689

Large deviations for stochastic generalized porous media equations

Author keywords

Large deviation principle; Stochastic porous medium equation

Indexed keywords

POROUS MATERIALS; SPURIOUS SIGNAL NOISE;

EID: 33750615728     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2006.05.007     Document Type: Article
Times cited : (43)

References (19)
  • 1
    • 0002293879 scopus 로고
    • Springer, Berlin
    • Aronson D.G. The Porous Medium Equation. Lecture Notes Math. vol. 1224 (1986), Springer, Berlin 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., and Peletier L.A. Large time behaviour of solutions of the porous medium equation in bounded domains. J. Differential Equations 39 (1981) 378-412
    • (1981) J. Differential Equations , vol.39 , pp. 378-412
    • Aronson, D.G.1    Peletier, L.A.2
  • 3
    • 33750619010 scopus 로고    scopus 로고
    • V. Barbu, V.I. Bogachev, G. Da Prato, M. Röckner, Weak solution to the stochastic porous medium equations: the degenerate case (preprint)
  • 4
    • 5644236962 scopus 로고    scopus 로고
    • Invariant measures of stochastic generalized porous medium equations
    • Bogachev V.I., Da Prato G., and Röckner M. Invariant measures of stochastic generalized porous medium equations. Dokl. Akad. Math. 396 (2004) 7-11
    • (2004) Dokl. Akad. Math. , vol.396 , pp. 7-11
    • Bogachev, V.I.1    Da Prato, G.2    Röckner, M.3
  • 5
    • 0033228798 scopus 로고    scopus 로고
    • Large deviations for a Burgers type SPDE
    • Cardon-Weber C. Large deviations for a Burgers type SPDE. Stochastic Process. Appl. 84 (1999) 53-70
    • (1999) Stochastic Process. Appl. , vol.84 , pp. 53-70
    • Cardon-Weber, C.1
  • 6
    • 2142772793 scopus 로고    scopus 로고
    • Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
    • Cerrai S., and Röckner M. Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Ann. Probab. 32 (2004) 1100-1139
    • (2004) Ann. Probab. , vol.32 , pp. 1100-1139
    • Cerrai, S.1    Röckner, M.2
  • 7
    • 2942532492 scopus 로고    scopus 로고
    • Weak solutions to stochastic porous media equations
    • Da Prato G., and Röckner M. Weak solutions to stochastic porous media equations. J. Evol. Equ. 4 (2004) 249-271
    • (2004) J. Evol. Equ. , vol.4 , pp. 249-271
    • Da Prato, G.1    Röckner, M.2
  • 8
    • 31744434811 scopus 로고    scopus 로고
    • Invariant measures for a stochastic porous medium equation
    • Stochastic Analysis and Related Topics in Kyoto, Math. Soc. Japan, Tokyo
    • Da Prato G., and Röckner M. Invariant measures for a stochastic porous medium equation. Stochastic Analysis and Related Topics in Kyoto. Adv. Stud. Pure Math. vol. 41 (2004), Math. Soc. Japan, Tokyo 13-29
    • (2004) Adv. Stud. Pure Math. , vol.41 , pp. 13-29
    • Da Prato, G.1    Röckner, M.2
  • 9
    • 31744446404 scopus 로고    scopus 로고
    • Strong solutions to stochastic generalized porous media equations: existence, uniqueness and ergodicity
    • Da Prato G., Röckner M., Rozovskii B.L., and Wang F.-Y. Strong solutions to stochastic generalized porous media equations: existence, uniqueness and ergodicity. Comm. Partial Differential Equations 31 (2006) 277-291
    • (2006) Comm. Partial Differential Equations , vol.31 , pp. 277-291
    • Da Prato, G.1    Röckner, M.2    Rozovskii, B.L.3    Wang, F.-Y.4
  • 13
    • 0038034729 scopus 로고    scopus 로고
    • Small-time Gaussian behavior of symmetric diffusion semigroups
    • Hino M., and Ramírez J.A. Small-time Gaussian behavior of symmetric diffusion semigroups. Ann. Probab. 31 3 (2003) 1254-1295
    • (2003) Ann. Probab. , vol.31 , Issue.3 , pp. 1254-1295
    • Hino, M.1    Ramírez, J.A.2
  • 16
    • 33750612949 scopus 로고    scopus 로고
    • J. Ren, M. Röckner, F.-Y. Wang, Stochastic generalized porous media and fast diffusion equations, 2005 (preprint)
  • 17
    • 84981761482 scopus 로고
    • Diffusion processes in a small time interval
    • Varadhan S.R.S. Diffusion processes in a small time interval. Comm. Pure Appl. Math. 20 (1967) 659-685
    • (1967) Comm. Pure Appl. Math. , vol.20 , pp. 659-685
    • Varadhan, S.R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.