Nonlinear second order evolution inclusions with noncoercive viscosity term

被引：9

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

Repovs, Dusan D. ^{[4
,5
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

[2] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland

[3] Romanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest 014700, Romania

[4] Univ Ljubljana, Fac Educ, SI-1000 Ljubljana, Slovenia

[5] Univ Ljubljana, Fac Math & Phys, SI-1000 Ljubljana, Slovenia

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 264卷 / 07期

关键词：

Evolution triple; Compact embedding; Parabolic regularization; Noncoercive viscosity term; A priori bounds; HYPERBOLIC HEMIVARIATIONAL INEQUALITIES; EXISTENCE;

D O I：

10.1016/j.jde.2017.12.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：4749 / 4763

页数：15

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