Zadoyanchuk N.V.

On solvability for the second order nonlinear evolution equations with noncoercive [i]W[sub][lambda][sub]0[/sub][/sub][/i]-pseudomonotone maps

In this paper, we consider a class of the second order evolution equations with Wλ0-pseudomonotone maps. Using the Faedo-Galerkin method, the resolvability for a class of evolution equations with nonlinear noncoercive operators, in particular with variation calculus operators, is proved. Furthermore, the uniform priori estimations in Lq(S;V'σ) for derivatives are obtained.