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Nonlinear second order evolution inclusions with noncoercive viscosity term |
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| Authors: | Nikolaos S. Papageorgiou Vicenţiu D. Rădulescu Dušan D. Repovš |
| Affiliation: | 1. National Technical University, Department of Mathematics, Zografou Campus, Athens 15780, Greece;2. Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland;3. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania;4. Faculty of Education and Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia |
| Abstract: | In this paper we deal with a second order nonlinear evolution inclusion, with a nonmonotone, noncoercive viscosity term. Using a parabolic regularization (approximation) of the problem and a priori bounds that permit passing to the limit, we prove that the problem has a solution. |
| Keywords: | primary 35L90 secondary 35R70 47H04 47H05 Evolution triple Compact embedding Parabolic regularization Noncoercive viscosity term A priori bounds |
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