An attractor of a nonlinear system of reaction-diffusion equations in ℝn and estimates of its ε-entropy

Mathematical Notes

Volumn 65, Issue 5-6, 1999, Pages 790-793

  Zelik, S V ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

Attractor of a semigroup; Banach space; Fractal dimension; Kolmogorov entropy; Quasilinear parabolic system of second order equations; Sobolev space

Indexed keywords

EID: 0039505598     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02675597     Document Type: Article

References (7)

1. A. V. Babin and M. I. Vishik, Proc. Roy. Soc. Edinburgh. Sect. A, 116, No. 3-4, 221-243 (1990).
2. M. A. Efendiev and A. Miranville, Discrete Contin. Dynam. Systems, 5, No. 2, 399-424 (1999).
3. S. Merino, J. Differential Equations, 132, 87-106 (1996).
4. H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, Birkhäuser, Berlin (1977).
5. A. N. Kolmogorov and V. M. Tikhomirov, Uspekhi Mat. Nauk [Russian Math. Surveys], 14, No. 2, 3-86 (1959).
6. M. I. Vishik and V. V. Chepyzhov, Mat. Sb. [Russian Acad. Sci. Sb. Math.], 189, No. 2, 81-110 (1998).
7. R. Temam, Infinite-dimensional Dynamical Systems in Mechanics and Physics, Springer, New York (1988).