Semicontinuity of trajectory attractors with respect to exponents for p-Laplacian equation

被引：0

作者：

Samprogna, Rodrigo A. A. ^{[1
]}

Pires, Leonardo ^{[2
]}

机构：

[1] Univ Fed Alfenas, Inst Ciencia & Tecnol, Campus Pocos de Calda, Rod Jose Aurelio Vilela 11, BR-37715400 Pocos De Caldas, MG, Brazil

[2] Univ Estadual Ponta Grossa, Dept Matemat & Estat, Campus Uvaranas, Av Gen Carlos Cavalcanti 4748, BR- 84030900 Ponta Grossa, PR, Brazil

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 12期

关键词：

ASYMPTOTIC-BEHAVIOR; GLOBAL ATTRACTORS;

D O I：

10.1063/5.0109092

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we are concerned with the perturbation of trajectory attractors for dissipative non autonomous p-Laplacian problems with dynamic boundary conditions and no guarantee of the uniqueness of solutions. We prove that under standard conditions, the family of trajectory attractors is upper semicontinuous in the topology of the trajectory space.

引用

页数：18

共 16 条

[1] Babin A., 1992, ATTRACTORS EVOLUTION
[2] ASYMPTOTIC-BEHAVIOR OF GENERALIZED PROCESSES, WITH APPLICATIONS TO NON-LINEAR EVOLUTION EQUATIONS
BALL, JM
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1978, 27 (02) : 224 - 265
[3] Chepyzhov V.V., 1996, TOPOL METHOD NONL AN, V8, P217, DOI [10.12775/tmna.1996.030, DOI 10.12775/TMNA.1996.030]
[4] Chepyzhov V. V., 2002, ATTRACTORS EQUATIONS, V49
[5] Evolution equations and their trajectory attractors
Chepyzhov, VV
Vishik, MI
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1997, 76 (10): : 913 - 964
[6] The heat equation with generalized Wentzell boundary condition
Favini, A
Goldstein, GR
Goldstein, JA
Romanelli, S
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2002, 2 (01) : 1 - 19
[7] Gal CG, 2010, DIFFER INTEGRAL EQU, V23, P327
[8] Hale JK., 1988, ASYMPTOTIC BEHAV DIS
[9] On global attractors of multivalued semiprocesses and nonautonomous evolution inclusions
Melnik, VS
Valero, J
[J]. SET-VALUED ANALYSIS, 2000, 8 (04): : 375 - 403
[10] Robinson J.C, 2001, CAM T APP M, DOI 10.1007/978-94-010-0732-0

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