## 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
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