We study a class of nonlinear evolutionary equations generated by a pseudo-differential operator with the elliptic principal symbol and with nonlinearities of the form G(u x ) where cฮท 2 โค G(ฮท) โค Cฮท 2 for large |ฮท|. We demonstrate existence of a universal absorbing set, and a compact attractor, and
โฆ LIBER โฆ
Dissipative Dynamics for a Class of Nonlinear Pseudo-Differential Equations
โ Scribed by M. Frankel; V. Roytburd
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 194 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1424-3199
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Stability for a class of nonlinear pseud
โ
Michael Frankel; Victor Roytburd
๐
Article
๐
2008
๐
Elsevier Science
๐
English
โ 210 KB
Eigenfunctions for a class of nonlinear
โ
Abraham Tal
๐
Article
๐
1967
๐
Elsevier Science
๐
English
โ 880 KB
Nonlocal problems for a class of nonline
โ
A. A. Kotsiolis; A. P. Oskolkov; R. D. Shadiev
๐
Article
๐
1995
๐
Springer US
๐
English
โ 897 KB
Initial value problem for a class of non
โ
Guowang Chen; Zhijian Yang
๐
Article
๐
1993
๐
Institute of Applied Mathematics, Chinese Academy
๐
English
โ 342 KB
Bounds for solutions of a class of nonli
โ
R.H Martin Jr.
๐
Article
๐
1970
๐
Elsevier Science
๐
English
โ 707 KB
Conditions for positivity of solutions o
โ
M.V. Bartuccelli; S.A. Gourley; C.J. Woolcock
๐
Article
๐
1998
๐
Elsevier Science
๐
English
โ 311 KB
## It is a difficult problem to establish useful results on positivity of solutions of semilinear dissipative partial differential equations containing differential operators of order higher than that of the Laplacian. Positivity results are of importance in some fields of applied mathematics, suc