Okochi, Hiroko On the existence of periodic solutions to nonlinear abstract parabolic equations. (English) Zbl 0679.35046 J. Math. Soc. Japan 40, No. 3, 541-553 (1988). 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 Cited in 1 ReviewCited in 64 Documents MSC: 35K55 Nonlinear parabolic equations 47H20 Semigroups of nonlinear operators 34G20 Nonlinear differential equations in abstract spaces Keywords:nonlinear parabolic equation; noncoercive operators; anti-periodic solutions; Hilbert space PDF BibTeX XML Cite \textit{H. Okochi}, J. Math. Soc. Japan 40, No. 3, 541--553 (1988; Zbl 0679.35046) Full Text: DOI OpenURL