On the existence of periodic solutions to nonlinear abstract parabolic equations. (English) Zbl 0679.35046
The paper studies the existence of anti-periodic solutions of \(du(t)/dt+\partial \phi (u(t))\ni f(t)\) in a real Hilbert space. The function \(\phi\) is a proper lower semicontinuous convex function. The assumptions are distinct from coerciveness.
Reviewer: J.de Graaf
MSC:
35K55 | Nonlinear parabolic equations |
47H20 | Semigroups of nonlinear operators |
34G20 | Nonlinear differential equations in abstract spaces |