Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 264, Issue 7, Pages 4749-4763Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2017.12.022
Keywords
Evolution triple; Compact embedding; Parabolic regularization; Noncoercive viscosity term; A priori bounds
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Funding
- Slovenian Research Agency [P1-0292, J1-7025, J1-8131, N1-0064]
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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 prioribounds that permit passing to the limit, we prove that the problem has a solution. (C) 2017 Elsevier Inc. All rights reserved.
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