Nonlinear second order evolution inclusions with noncoercive viscosity term

Papageorgiou, Nikolaos (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 (dk_c)
• Tipology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education
• Year: 2018
• Number of pages: str. 4749-4763
• Numbering: Vol. 264, iss. 7
• UDC: 517.956.3
• ISSN on article: 0022-0396
• DOI: 10.1016/j.jde.2017.12.022
• COBISS.SI-ID: 18207321
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Record is a part of a journal

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