On the existence of periodic solutions to nonlinear abstract parabolic equations. (English) Zbl 0679.35046

Okochi, Hiroko

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

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