Uniqueness of solutions to a system of differential inclusions
Electronic journal of differential equations, Tome 2000 (2000)
In this paper we study the uniqueness of solutions to the initial and Dirichlet boundary-value problem of differential inclusions
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 $A'_i(s)\geq 0$.
| $ \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, $ |
Classification :
35K50, 35K65, 35A05, 35D99
Keywords: differential inclusions, degeneracy, uniqueness
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},
year = {2000},
volume = {2000},
zbl = {0953.35058},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a218/}
}
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/