Acknowledgement
This research is funded by Hung Vuong University.
References
- C. T. Anh, Global attractor for a semilinear strongly degenerate parabolic equation on ℝN, NoDEA Nonlinear Differential Equations Appl. 21 (2014), no. 5, 663-678. https://doi.org/10.1007/s00030-013-0261-y
- C. T. Anh and T. Q. Bao, Dynamics of non-autonomous nonclassical diffusion equations on ℝn, Commun. Pure Appl. Anal. 11 (2012), no. 3, 1231-1252. https://doi.org/10.3934/cpaa.2012.11.1231
- C. T. Anh, P. Q. Hung, T. D. Ke, and T. T. Phong, Global attractor for a semilinear parabolic equation involving Grushin operator, Electron. J. Differential Equations 2008 (2008), No. 32, 11 pp.
- C. T. Anh and T. D. Ke, Existence and continuity of global attractors for a degenerate semilinear parabolic equation, Electron. J. Differential Equations 2009 (2009), No. 61, 13 pp.
- C. T. Anh and L. T. Tuyet, On a semilinear strongly degenerate parabolic equation in an unbounded domain, J. Math. Sci. Univ. Tokyo 20 (2013), no. 1, 91-113.
- C. T. Anh and L. T. Tuyet, Strong solutions to a strongly degenerate semilinear parabolic equation, Vietnam J. Math. 41 (2013), no. 2, 217-232. https://doi.org/10.1007/s10013-013-0019-1
- F. Boyer and P. Fabrie, Mathematical tools for the study of the incompressible Navier-Stokes equations and related models, Applied Mathematical Sciences, 183, Springer, New York, 2013. https://doi.org/10.1007/978-1-4614-5975-0
- P. G. Geredeli, On the existence of regular global attractor for p-Laplacian evolution equation, Appl. Math. Optim. 71 (2015), no. 3, 517-532. https://doi.org/10.1007/s00245-014-9268-y
- P. G. Geredeli and A. Khanmamedov, Long-time dynamics of the parabolic p-Laplacian equation, Commun. Pure Appl. Anal. 12 (2013), no. 2, 735-754. https://doi.org/10.3934/cpaa.2013.12.735
- A. E. Kogoj and E. Lanconelli, On semilinear ∆λ-Laplace equation, Nonlinear Anal. 75 (2012), no. 12, 4637-4649. https://doi.org/10.1016/j.na.2011.10.007
- A. E. Kogoj and S. Sonner, Attractors for a class of semi-linear degenerate parabolic equations, J. Evol. Equ. 13 (2013), no. 3, 675-691. https://doi.org/10.1007/s00028-013-0196-0
- A. E. Kogoj and S. Sonner, Attractors met X-elliptic operators, J. Math. Anal. Appl. 420 (2014), no. 1, 407-434. https://doi.org/10.1016/j.jmaa.2014.05.070
- D. Li and C. Sun, Attractors for a class of semi-linear degenerate parabolic equations with critical exponent, J. Evol. Equ. 16 (2016), no. 4, 997-1015. https://doi.org/10.1007/s00028-016-0329-3
- Z. T. Luen and N. M. Chi, Sib. Math. J. 57 (2016), no. 4, 632-649; translated from Sibirsk. Mat. Zh. 57 (2016), no. 4, 809-829. https://doi.org/10.1134/s0037446616040078
- D. T. Luyen and N. M. Tri, Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator, Ann. Polon. Math. 117 (2016), no. 2, 141-162. https://doi.org/10.4064/ap3831-3-2016
- D. T. Quyet, L. T. Thuy, and N. X. Tu, Semilinear strongly degenerate parabolic equations with a new class of nonlinearities, Vietnam J. Math. 45 (2017), no. 3, 507-517. https://doi.org/10.1007/s10013-016-0228-5
- J. C. Robinson, Infinite-Dimensional Dynamical Systems, Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge, 2001.
- M. X. Thao, On the global attractor for a semilinear strongly degenerate parabolic equation, Acta Math. Vietnam. 41 (2016), no. 2, 283-297. https://doi.org/10.1007/s40306-015-0133-0
- P. T. Thuy and N. M. Tri, Nontrivial solutions to boundary value problems for semilinear strongly degenerate elliptic differential equations, NoDEA Nonlinear Differential Equations Appl. 19 (2012), no. 3, 279-298. https://doi.org/10.1007/s00030-011-0128-z
- P. T. Thuy and N. M. Tri, Long time behavior of solutions to semilinear parabolic equations involving strongly degenerate elliptic differential operators, NoDEA Nonlinear Differential Equations Appl. 20 (2013), no. 3, 1213-1224. https://doi.org/10.1007/s00030-012-0205-y
- B. Wang, Attractors for reaction-diffusion equations in unbounded domains, Phys. D 128 (1999), no. 1, 41-52. https://doi.org/10.1016/S0167-2789(98)00304-2