Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664319 | Acta Mathematica Scientia | 2011 | 10 Pages |
Abstract
This paper deals with the initial-value problem of nonlinear evolution inclusions of the form dB(u)/dt+A(u) ∈ f, v0 ∈ B(u)(0), where the operator B is induced by a subgradient and A is pseudomonotone. Existence theorem is established via the time discretization technique and the regularization method. In contrast to the previous results, here we impose a weaker coerciveness condition on A and remove the strong monotonicity from B.
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