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pro vyhledávání: '"Li, Jinlu"'
Autor:
Li, Jinlu
In this paper, we investigate some properties of the Mordukhovich derivatives of the normalized duality mapping in Banach spaces. For the underlying spaces, we consider three cases: uniformly convex and uniformly smooth Banach space lp; general Banac
Externí odkaz:
http://arxiv.org/abs/2407.21261
Autor:
Li, Jinlu
In this paper, we investigate some fixed-point properties of the Mordukhovich differential operator of set valued mappings (or, single valued mappings) on Banach spaces. In particular, we study the fixed-point properties of the Mordukhovich different
Externí odkaz:
http://arxiv.org/abs/2407.05227
In this paper we investigate the Cauchy problem of d-dimensional Euler-Poincar\'{e} equations. By choosing a class of new and special initial data, we can transform this d-dimensional Euler-Poincar\'{e} equations into the Camassa-Holm type equation i
Externí odkaz:
http://arxiv.org/abs/2405.01252
In this paper, we study the Cauchy problem of the Euler-Poincar\'{e} equations in $\R^d$ with initial data belonging to the Triebel-Lizorkin spaces. We prove the local-in-time unique existence of solutions to the Euler-Poincar\'{e} equations in $F^s_
Externí odkaz:
http://arxiv.org/abs/2403.12824
It is proved in \cite[J. Funct. Anal., 2020]{AP} that the Cauchy problem for some Oldroyd-B model is well-posed in $\B^{d/p-1}_{p,1}(\R^d) \times \B^{d/p}_{p,1}(\R^d)$ with $1\leq p<2d$. In this paper, we prove that the Cauchy problem for the same Ol
Externí odkaz:
http://arxiv.org/abs/2403.02001
Autor:
Li, Jinlu
In this paper, we investigate the properties and the precise solutions of the Mordukhovich derivatives of the set-valued metric projection operator onto some closed balls in some general Banach spaces. In the Banach space c, we find the properties of
Externí odkaz:
http://arxiv.org/abs/2402.10827
Autor:
Li, Jinlu
In this paper, we investigate the properties of the Mordukhovich derivatives of the metric projection operator onto closed balls, closed and convex cylinders and positive cones in uniformly convex and uniformly smooth Banach spaces. We find the exact
Externí odkaz:
http://arxiv.org/abs/2401.11321
It is proved that if $u_0\in B^s_{p,r}$ with $s>1+\frac1p, (p,r)\in[1,+\infty]\times[1,+\infty)$ or $s=1+\frac1p, \ (p,r)\in[1,+\infty)\times \{1\}$, the solution of the Camassa--Holm equation belongs to $\mathcal{C}([0,T];B^s_{p,r})$. In the paper,
Externí odkaz:
http://arxiv.org/abs/2401.11097
Autor:
Yu, Yanghai, Li, Jinlu
It is proved in \cite{IO21} that the Cauchy problem for the full compressible Navier--Stokes equations of the ideal gas is ill-posed in $\dot{B}_{p, q}^{2 / p}(\mathbb{R}^2) \times \dot{B}_{p, q}^{2 / p-1}(\mathbb{R}^2) \times \dot{B}_{p, q}^{2 / p-2
Externí odkaz:
http://arxiv.org/abs/2401.04387
Autor:
Li, Jinlu
In this paper, we prove Frechet differentiability of the metric projection operator onto closed balls, closed and convex cylinders and positives cones in uniformly convex and uniformly smooth Banach spaces. With respect to these closed and convex sub
Externí odkaz:
http://arxiv.org/abs/2401.01480