Global Attractors for a Nonclassical Diffusion Equation
By Chunyou Sun, Sufang Wang, Chengkui Zhong. 2007
88 citations recorded by the source corpus.
AbstractWe prove the existence of global attractors in $$ H^{1}_{0} {\left( \Omega \right)} $$ for a nonclassical diffusion equation. Two types of nonlinearity f are considered: one is the critical exponent, and the other is the polynomial growth of arbitrary order.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d4c0d7aedc692a503a7173bf6cc6ce9df09dfdda
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In Computational Theory and Mathematics
In Control and Systems Engineering
In Mathematical Physics
Citations in the corpus
- Pullback attractors for a class of non-autonomous nonclassical diffusion equations (2010, background): “1) in the autonomous case, that is, the case when g is independent of time t , has been studied in recent years [5–8].”