Nonlinear second order evolution inclusions with noncoercive viscosity term

Papageorgiou, Nikolaos S. (author), Rǎdulescu, Vicenţiu (author), Repovš, Dušan (author)

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.

• Language: English
• Keywords: evolution triple, compact embedding, parabolic regularization, noncoercive viscosity term, a priori bounds
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2018
• Number of pages: Str. 4749-4763
• Numbering: Vol. 264, iss. 7
• PID: 20.500.12556/RUL-109150
• UDC: 517.956.3
• ISSN on article: 0022-0396
• DOI: 10.1016/j.jde.2017.12.022
• COBISS.SI-ID: 18207321
• Publication date in RUL: 23.08.2019

Record is a part of a journal

• Title: Journal of differential equations
• Shortened title: J. differ. equ.
• Publisher: Elsevier
• ISSN: 0022-0396
• COBISS.SI-ID: 25730560