×

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
PDF BibTeX XML Cite
Full Text: DOI