Attractors for parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities
https://doi.org/10.1186/1687-2770-2012-35Publisher, magazine: ,
Publication year: 2012
Lưu Trích dẫn Chia sẻAbstract
Using the theory of uniform global attractors for multi-valued semiprocesses, we prove the existence of attractors for quasilinear parabolic equations related to Caffarelli-Kohn- Nirenberg inequalities, in which the conditions imposed on the nonlinearity provide the global existence of weak solutions but not uniqueness, in both autonomous and non-autonomous cases.
Tags: Caffarelli-Kohn-Nirenberg inequalities; non-uniqueness; weak solution; multivalued semiflow; multi-valued semiprocess; compact attractor; compactness and monotonicity methods
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