Time dependent evolution inclusions governed by the difference of two subdifferentials

Electronic Journal of Qualitative Theory of Differential Equations

S. Guillaume¹ 

[1] University of Avignon, Avignon, France;

关键词: convex and difference convex functions;    evolution inclusion;    subdifferential;    local existence;   

DOI  :  10.14232/ejqtde.2012.1.92

来源: DOAJ

【 摘 要 】

The purpose of this paper is to study evolution inclusions involving time dependent subdifferential operators which are non-monotone. More precisely, we studyexistence of solutions for the following evolution equation in a real Hilbert space $X$~: $u^\prime (t)+\partial f^t(u(t))-\partial\varphi^t(u(t))\ni w(t)$, $u(0)=u_0$, where $f^t$ and $\varphi^t$ are closed convex proper functions on $X$.

【 授权许可】

Unknown