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math.AP2022
Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations
Takashi Kagaya, Qing Liu, Hiroyoshi Mitake
This paper is concerned with a general class of fully nonlinear parabolic equations with monotone nonlocal terms. We investigate the quasiconvexity preserving property of positive,…
math.AP2021★ 1 cited
Asymptotic stability of diffusion waves of a quasi-linear hyperbolic-parabolic model for vasculogenesis
Qinging Liu, Hongyun Peng, Zhi-An Wang
In this paper, we derive the large-time profile of solutions to the Cauchy problem of a hyperbolic-parabolic system modeling the vasculogenesis in . When the initial data are…