Existence results for a class of pseudomonotone elliptic-parabolic inclusions |
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| Authors: | Peng Zijia Liu Yiliang |
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| Institution: | aSchool of Mathematical Sciences and Computing Technology, Central South University, Changsha 410075, China;bFaculty of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, China |
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| 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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| Keywords: | time-discretization pseudomonotone operator regularization |
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