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Evolution Inclusions Governed by Time-Dependent Maximal Monotone Operators with a Full Domain |
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| Authors: | Vilches Emilio Nguyen Bao Tran |
| Institution: | 1.Instituto de Ciencias de la Educación, Universidad de O’Higgins, Av. Libertador Bernardo O’Higgins 611, Rancagua, 2841959, Chile ;2.Instituto de Ciencias de la Ingeniería, Universidad de O’Higgins, Av. Libertador Bernardo O’Higgins 611, Rancagua, 2841959, Chile ; |
| Abstract: | In this paper, we study the existence of solutions for evolution inclusions governed by time-dependent maximal monotone operators with a full domain. Without assumptions concerning time-regularity on the time-dependent maximal monotone operators, and by using the Moreau-Yosida regularization technique, we establish the existence of solutions in Hilbert spaces. The theoretical result is applied to prove the existence of solutions for semicoercive sweeping processes with velocity constraint. |
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