SCOPUS 정보 검색 플랫폼

Journal of Mathematical Analysis and Applications

Volumn 270, Issue 1, 2002, Pages 16-50

Finite dimensionality and regularity of attractors for a 2-D semilinear wave equation with nonlinear dissipation

(2) Lasiecka, Irena a Ruzmaikina, Anastasia A a

a University of Virginia (United States)

Author keywords

Finite dimensional attractors; Global attractors; Nonlinear dissipation; Regularity of attractors; Semilinear wave equation

Indexed keywords

EID: 0036600441 PISSN: 0022247X EISSN: None Source Type: Journal
DOI: 10.1016/S0022-247X(02)00006-9 Document Type: Article

Times cited : (37)

References (38)

1
- 0005742821
- Nonlinear Semigroups and Differential Equations in Banach Spaces, Nordhof, Groningen
- (1976)
- Barbu, V.¹

2
- 0005682715
- Monotone Operators in Banach Spaces and Nonlinear Partial Differential Equations, American Mathematical Society, Providence, RI
- (1997)
- Showalter, R.¹

3
- 0005688262
- Asymptotic Behavior of Dissipative Systems, American Mathematical Society, Providence, RI
- (1988)
- Hale, J.¹

4
- 0005651391
- Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, Berlin
- (1988)
- Temam, R.¹

5
- 0005742822
- Attractors of Evolution Equations, North-Holland, Amsterdam
- (1992)
- Babin, A.V.¹ Vishik, M.I.²

6
- 84972506618
- Uniform boundary stabilization of semilinear wave equation with nonlinear boundary dissipation
- (1993) Differential Integral Equations , vol.6 , pp. 507-533
- Lasiecka, I.¹ Tataru, D.²

7
- 0001273746
- Regularity of the solutions of second order evolution equations and their attractors
- (1987) Ann. Scuola Norm. Sup. Pisa , vol.14 , pp. 485-511
- Ghidaglia, J.M.¹ Temam, R.²

8
- 0005717394
- Semilinear Hyperbolic Problems in Bounded Domains, Mathematical Reports, Gordon and Breach, New York
- (1987) , vol.3
- Haraux, A.¹

9
- 0012120134
- Two remarks on on dissipative hyperbolic problems
- J.L. Lions (Ed.), Seminaire de College de France, Pitman, Boston
- (1985)
- Haraux, A.¹

10
- 0000998760
- A damped hyperbolic equations with critical exponents
- (1992) Comm. Partial Differential Equations , vol.17 , pp. 841-866
- Arrietta, J.¹ Carvalho, A.N.² Hale, J.³

11
- 34248227730
- Attractors for wave equation with nonlinear dissipation and critical exponent
- (1992) C. R. Acad. Sci. Paris Ser. I , vol.135 , pp. 551-555
- Fereisel, E.¹

12
- 0003065470
- Attractors for dissipative evolutionary equations
- World Science River Edge, NJ
- (1993) International Conference on Differential Equations , pp. 3-22
- Hale, J.K.¹ Raugel, G.²

13
- 0001050651
- Longtime behaviour of strongly damped wave equations, global attractors and their dimensions
- (1991) SIAM J. Math. Anal , vol.22 , pp. 879-895
- Ghidaglia, J.M.¹ Marzocchi, A.²

14
- 0000085549
- Finite dimensional attractors for semilinear wave equations with damping
- (1992) J. Math. Anal. Appl , vol.169 , pp. 408-409
- Eden, A.¹ Milam, A.² Nicolaenko, B.³

15
- 0000160580
- Attractors of damped nonlinear hyperbolic equations
- (1987) J. Math. Pure Appl , vol.66 , pp. 273-319
- Ghidaglia, J.M.¹ Temam, R.²

16
- 0005750035
- Finite-dimensional asymptotic behaviour of some semilinear damped hyperbolic problems
- (1994) J. Dynam. Differential Equations , vol.6 , pp. 23-35
- Fereisel, E.¹

17
- 0005680882
- One-Parameter Semigroups for Linear Evolution Equations, Springer-Verlag, Berlin
- (1991)
- Engel, K.¹ Nagel, R.²

18
- 0003572624
- Evolution Semigroups in Dynamical Systems
- American Mathematical Society, Providence, RI
- (1991)
- Chicone, C.¹ Latushkin, Y.²

19
- 0000108951
- Une equation des ondes avec amortissment non lineaire dans le cas critique en dimensions trois
- (1992) C. R. Acad. Sci. Paris , vol.314 , pp. 177-182
- Raugel, G.¹

20
- 0005650726
- Existence of forced periodic solution of dissipative semilinear hyperbolic equations and systems, preprint, UNICAMP, San Paolo
- (1994)
- Ceron, S.¹ Lopes, O.²

21
- 84947513673
- Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent
- (1993) Comm. Partial Differential Equations , vol.18 , pp. 1539-1555
- Fereisel, E.¹ Zuazua, E.²

22
- 0000220290
- Global attractors for semilinear damped wave equations with supercritical exponent
- (1995) J. Differential Equations , vol.116 , pp. 431-447
- Fereisel, E.¹

23
- 0005750037
- Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
- (1976) J. Differential Equations , vol.22
- Mallet Paret, J.¹

24
- 0003990399
- On the Dimension of the Compact Invariant Sets of Certain Nonlinear Maps
- Lecture Notes in Mathematics, Springer-Verlag, Berlin
- (1981)
- Mane, R.¹

25
- 0003596409
- Theory of Multipliers in Spaces of Differentiable Functions
- Pitman, Boston
- (1985)
- Mazya, V.G.¹ Shaposhnikova, T.O.²

26
- 0003575867
- Non-Homogeneous Boundary Value Problems
- Springer-Verlag, Berlin
- (1973)
- Lions, J.L.¹ Magenes, E.²

27
- 34250112428
- p (0, T; B)
- (1987) Ann. Mat. Pura Appl. Ser. 4 , vol.148 , pp. 65-96
- Simon, J.¹

28
- 0003678756
- Nonlinear Functional Analysis
- Springer-Verlag, Berlin
- (1986)
- Zeidler, E.¹

29
- 0004291560
- Operateurs Maximaux Monotones
- North-Holland, Amsterdam
- (1973)
- Brezis, H.¹

30
- 0003882441
- Interpolation Theory, Function Spaces, Differential, Operators
- North-Holland, Amsterdam
- (1978)
- Triebel, H.¹

31
- 0000375959
- Finite-dimensionality of bounded invariant sets for Navier-Stokes systems and other dissipative systems
- (1985) J. Sov. Math , vol.28 , pp. 714-726
- Ladyzenskaya, O.¹

32
- 0004058897
- Theory of Function Spaces
- Birkhauser, Basel
- (1983)
- Triebel, H.¹

33
- 0002317471
- Characterisation de quelques esoaces d'interpolation
- (1967) Arch. Rational. Mech. Anal , vol.26 , pp. 40-63
- Grisvard, P.¹

34
- 0003956471
- Introduction to the Theory of Infinite-Dimensional Dissipative Systems
- Acta, Kharkov in Russian
- (1999)
- Chueshov, I.D.¹

35
- 0001654129
- Finite-dimensionality of attractors associated with von Karman plate equations and boundary damping
- (1995) J. Differential Equations , vol.117 , pp. 357-389
- Lasiecka, I.¹

36
- 0000618850
- Local and global compact attractors arising in nonlinear elasticity. The case of noncompact nonlinearity and nonlinear dissipation
- (1995) J. Math. Anal. Appl , vol.196 , pp. 332-360
- Lasiecka, I.¹

37
- 0033473913
- Uniform decay rates for full von Karman system of dynamic thermoelasticity with free boundary conditions and partial boundary dissipation
- (1999) Comm. Partial Differential Equations , vol.24 , pp. 1801-1849
- Lasiecka, I.¹

38
- 0005718907
- On the attractor for semilinear wave equation with critical exponent and nonlinear boundary damping
- to appear
- Comm. Partial Differential Equations
- Chueshov, I.D.¹ Eller, M.² Lasiecka, I.³

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.