Geodesic
Global attractors for nonclassical diffusion equations with hereditary memory and a new class of nonlinearities
Cung The Anh1 ; Dang Thi Phuong Thanh2 ; Nguyen Duong Toan3
1 Department of Mathematics Hanoi National University of Education 136 Xuan Thuy, Cau Giay Hanoi, Vietnam
2 Department of Mathematics Hung Vuong University Nong Trang, Viet Tri Phu Tho, Vietnam
3 Department of Mathematics Haiphong University 171 Phan Dang Luu, Kien An Haiphong, Vietnam
Annales Polonici Mathematici, Tome 119 (2017) no. 1, pp. 1-21.

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We study the existence and long-time behavior in terms of existence of global attractors of weak solutions to a class of nonclassical diffusion equations with hereditary memory and a new class of nonlinearities, which contains all nonlinearities of polynomial type, Sobolev type, and even exponential type. The main novelty of our result is that no restriction on the upper growth of the nonlinearity is imposed.
DOI : 10.4064/ap4015-2-2017
Keywords: study existence long time behavior terms existence global attractors weak solutions class nonclassical diffusion equations hereditary memory class nonlinearities which contains nonlinearities polynomial type sobolev type even exponential type main novelty result restriction upper growth nonlinearity imposed

Cung The Anh 1 ; Dang Thi Phuong Thanh 2 ; Nguyen Duong Toan 3

1 Department of Mathematics Hanoi National University of Education 136 Xuan Thuy, Cau Giay Hanoi, Vietnam
2 Department of Mathematics Hung Vuong University Nong Trang, Viet Tri Phu Tho, Vietnam
3 Department of Mathematics Haiphong University 171 Phan Dang Luu, Kien An Haiphong, Vietnam 
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Cung The Anh; Dang Thi Phuong Thanh; Nguyen Duong Toan. Global attractors for nonclassical diffusion equations with hereditary memory and a new class of nonlinearities. Annales Polonici Mathematici, Tome 119 (2017) no. 1, pp. 1-21. doi : 10.4064/ap4015-2-2017. http://geodesic.mathdoc.fr/articles/10.4064/ap4015-2-2017/

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