Asymptotic behavior in time periodic parabolic problems with unbounded coefficients

被引：14

作者：

Lorenzi, Luca ^{[1
]}

Lunardi, Alessandra ^{[1
]}

Zamboni, Alessandro ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Matemat, I-43124 Parma, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 249卷 / 12期

关键词：

Nonautonomous PDEs; Unbounded coefficients; Asymptotic behavior; Invariant measures; Spectral gap; ORNSTEIN-UHLENBECK OPERATORS; INVARIANT-MEASURES; EQUATIONS; REGULARITY;

D O I：

10.1016/j.jde.2010.08.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study asymptotic behavior in a class of nonautonomous second order parabolic equations with time periodic unbounded coefficients in R x R-d. Our results generalize and improve asymptotic behavior results for Markov semigroups having an invariant measure. We also study spectral properties of the realization of the parabolic operator u -> A(t)u - u(t) in suitable L-P spaces. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3377 / 3418

页数：42

共 27 条

[1] ANE C, 2000, COLLECTION PANOR SYN, V10
[2] [Anonymous], 2000, GRAD TEXT M
[3] On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions
Bogachev, VI
Krylov, NV
Röckner, M
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2001, 26 (11-12) : 2037 - 2080
[4] Cerrai S., 2001, 2 ORDER PDES FINITE, V1, DOI [10.1007/b80743, DOI 10.1007/B80743]
[5] Chicone C., 1999, Evolution Semigroups in Dynamical Systems and Differential Equations
[6] Elliptic operators on Rd with unbounded coefficients
Da Prato, G
Goldys, B
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 172 (02) : 333 - 358
[7] DA PRATO G., 2002, LOND MATH S, V293
[8] Da Prato G., 1996, LONDON MATH SOC LECT, V229
[9] Da Prato G, 2006, REND LINCEI-MAT APPL, V17, P397
[10] 2D stochastic Navier-Stokes equations with a time-periodic forcing term
Da Prato, Giuseppe
Debussche, Arnaud
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2008, 20 (02) : 301 - 335

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