Lp-boundedness and topological structure of solutions for flexible structural systems

被引：2

作者：

Andrade, Filipe ^{[1
]}

Cuevas, Claudio ^{[1
]}

Dantas, Filipe ^{[2
]}

Soto, Herme ^{[3
]}

机构：

[1] Univ Fed Pernambuco, Dept Math, BR-50540740 Recife, PE, Brazil

[2] Univ Fed Sergipe, Dept Math, Aracaju, Sergipe, Brazil

[3] Univ La Frontera, Dept Math & Stat, Temuco, Chile

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 18期

关键词：

flexible structure; Kneser's property; mild solutions; regularized families; BOUNDARY STABILIZATION; EXACT CONTROLLABILITY; EQUATION; VIBRATIONS; STABILITY; EXISTENCE;

D O I：

10.1002/mma.3439

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work deals with L-p-boundedness of mild solutions for an abstract version of the damped wave equation u '' +alpha u ''' =beta Delta u + gamma Delta u' +f that models the vibrations of flexible structures possessing internal material damping and external force f. We prove that the set consisting ofmild solutions for this problem is compact and connected in the space of continuous functions. This property is known in the literature as the Kneser's property. Copyright (C) 2015 JohnWiley & Sons, Ltd.

引用

页码：5139 / 5159

页数：21

共 50 条

[21] Lp-Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels
Yong Ding
Dashan Fan
Yibiao Pan
Acta Mathematica Sinica, 2000, 16 : 593 - 600
[22] Sharp Lp-boundedness of oscillatory integral operators with polynomial phases
Shi, Zuoshunhua
Yan, Dunyan
MATHEMATISCHE ZEITSCHRIFT, 2017, 286 (3-4) : 1277 - 1302
[23] Lp-boundedness of pseudo-differential operators on homogeneous trees
Rana, Tapendu
Rano, Sumit Kumar
STUDIA MATHEMATICA, 2023, 272 (03) : 221 - 244
[24] Lp-boundedness of Marcinkiewicz integrals with Hardy space function kernels
Ding, Y
Fan, DS
Pan, YB
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2000, 16 (04): : 593 - 600
[25] Lp-boundedness properties of variation operators in the Schrödinger setting
J. J. Betancor
J. C. Fariña
E. Harboure
L. Rodríguez-Mesa
Revista Matemática Complutense, 2013, 26 : 485 - 534
[26] Lp-BOUNDEDNESS FOR FRACTIONAL OSCILLATORY INTEGRAL OPERATOR WITH ROUGH KERNEL
Ding Yong(Beijing Normal University
Approximation Theory and Its Applications, 1996, (02) : 70 - 79
[27] Lp-boundedness of Functions of Schrodinger Operators on an Open Set of Rd
Iwabuchi, Tsukasa
Matsuyama, Tokio
Taniguchi, Koichi
NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS, 2017, : 307 - 312
[28] Lp-boundedness of the wave operator for the one dimensional Schrodinger operator
D'Ancona, Piero
Fanelli, Luca
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 268 (02) : 415 - 438
[29] Lp-boundedness for weighted Fourier convolution by Hermite polynomial and their applications
Tuan, Trinh
Hien, Le Van
Phuong, Nguyen Thi Hong
ACTA SCIENTIARUM MATHEMATICARUM, 2024,
[30] A method for proving Lp-boundedness of singular Radon transforms in codimension 1
Greenblatt, M
DUKE MATHEMATICAL JOURNAL, 2001, 108 (02) : 363 - 393

← 1 2 3 4 5 →