Kernel sections and uniform attractors of multi-valued semiprocesses☆
By Yejuan Wang, Shengfan Zhou. 2007
52 citations recorded by the source corpus.
Abstract We present the existence of kernel sections (which are all compact, invariant and pullback attracting) of an infinite-dimensional general multi-valued process constructed by the set-valued backward extension of multi-valued semiprocesses. Moreover, the structure of the uniform attractors of a family of multi-valued semiprocesses and the uniform forward attraction of kernel sections of a family of general multi-valued processes are investigated. Finally, we explain our abstract results by considering the mixed wave systems with supercritical exponent and ordinary differential equations.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/c1c8e7f52e6b05a18bf1207690719e4b18db52a9
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In Applied Mathematics
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In Computational Theory and Mathematics
- Alain Miranville
- Sergey Zelik
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In Control and Systems Engineering
- Alain Miranville
- Sergey Zelik
- Chunyou Sun
- Hao Wu
- Ciprian G. Gal
- Laurence Cherfils
- Stefanie Sonner
- Alexandre Nolasco de Carvalho
Citations in the corpus
- Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains (2008, background): “in the multi-valued setting, see [11,19,23,24,50,158,159,201,208,209], and the references therein; see also [37,141], and [231] for nonautonomous systems.”