Article Contents
Article Contents

# Solvability of nonlinear evolution equations generated by subdifferentials and perturbations

• The main objective of this paper is to discuss solvability of the Cauchy problem of an evolution equation with subdifferentials of convex functions which is generated by unknown functions and perturbations of the form:
$u'(t) + ∂ \varphi^t(u;u(t)) + G(u(t)) \ni f(t)$   0 < t < T,      in     H.
where H is a Hilbert space, $u'=\frac{du}{dt}$, and $∂ \varphi^t(u;\cdot )$ is a subdifferential operator of convex function $\varphi^t(u;\cdot )$. The evolution equation corresponds to parabolic quasi-variational inequalities.
Mathematics Subject Classification: Primary: 47J35; Secondary: 47J20.

 Citation:

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