Geodesic
Uniqueness of solutions to a system of differential inclusions
Electronic Journal of Differential Equations, Tome 2000 (2000).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we study the uniqueness of solutions to the initial and Dirichlet boundary-value problem of differential inclusions $$ \Delta u_i+\nabla\cdot\vec{B_i} (u_1,u_2,\dots,u_N)\in \frac{\partial F_i(u_i)}{\partial t}, \quad i=1,2,\dots,N, $$ where $\vec{B_i}(s_1,s_2,\dots,s_N)$ is an n-dimensional vector continuously differentiable on ${\mathbb R}^N$, and $F_i(u_i)=\{w_i:u_i=A_i(w_i)\}, i=1,2,\dots,N$ with $A_i(s)$ continuously differentiable functions on ${\mathbb R}$ and $A'_i(s)\geq 0$.
Classification : 35K50, 35K65, 35A05, 35D99
Keywords: differential inclusions, degeneracy, uniqueness 
@article{EJDE_2000__2000__a218,
     author = {Wang, Chunpeng and Yin, Jingxue},
     title = {Uniqueness of solutions to a system of differential inclusions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2000},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a218/}
}
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Wang, Chunpeng; Yin, Jingxue. Uniqueness of solutions to a system of differential inclusions. Electronic Journal of Differential Equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a218/