On the decay of solutions for some nonlinear dissipative hyperbolic equations

被引：2

作者：

Ye Y.-J. ^{[1
,2
]}

机构：

[1] Beijing Graduate School, Chinese Academy of Engineering Physics, Beijing 100088

[2] Department of Informational and Computational Science, Henan Agricultural University

来源：

Acta Mathematicae Applicatae Sinica | 2004年 / 20卷 / 1期

关键词：

Decay property of solutions; Dissipative term; Nonlinear hyperbolic equation;

D O I：

10.1007/s10255-004-0152-4

中图分类号：

学科分类号：

摘要：

In this paper we show the decay of solutions to the initial-boundary value problem for some nonlinear hyperbolic equation with a nonlinear dissipative term, by using a difference inequality. © Springer-Verlag 2004.

引用

页码：93 / 100

页数：7

共 50 条

[1] ON THE DECAY OF SOLUTIONS OF SOME NONLINEAR DISSIPATIVE WAVE-EQUATIONS IN HIGHER DIMENSIONS
NAKAO, M
MATHEMATISCHE ZEITSCHRIFT, 1986, 193 (02) : 227 - 234
[2] Asymptotic solutions of some hyperbolic nonlinear equations
Vakulenko, S. A.
DAYS ON DIFFRACTION 2007, 2007, : 143 - 148
[3] PERIODIC SOLUTIONS OF SOME NONLINEAR HYPERBOLIC EQUATIONS
POKHOZHAEV, SI
DOKLADY AKADEMII NAUK SSSR, 1971, 198 (06): : 1274 - +
[4] The rate of decay for solutions in nonlinear dissipative partial differential equations
Woolcock, C. J.
Bartuccelli, M. V.
Physics Letters. Section A: General, Atomic and Solid State Physics, 236 (5-6):
[5] The rate of decay for solutions in nonlinear dissipative partial differential equations
Woolcock, CJ
Bartuccelli, MV
PHYSICS LETTERS A, 1997, 236 (5-6) : 415 - 424
[6] The rate of decay for solutions in nonlinear dissipative partial differential equations
Woolcock, C.J.
Bartuccelli, M.V.
Physics Letters, Section A: General, Atomic and Solid State Physics, 1997, 236 (5-6): : 415 - 424
[7] Decay rates of solutions to dissipative nonlinear evolution equations with ellipticity
Zhu, CJ
Wang, Z
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2004, 55 (06): : 994 - 1014
[8] Decay rates of solutions to dissipative nonlinear evolution equations with ellipticity
Changjiang Zhu
Zhian Wang
Zeitschrift für angewandte Mathematik und Physik ZAMP, 2004, 55 : 994 - 1014
[9] EXPONENTIAL DECAY OF SOLUTIONS OF DAMPED NONLINEAR HYPERBOLIC-EQUATIONS
BILER, P
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (07) : 841 - 849
[10] Spatial Behavior of Solutions for a Class of Hyperbolic Equations with Nonlinear Dissipative Terms
Peyravi, A.
JOURNAL OF MATHEMATICAL EXTENSION, 2021, 15 (03)

← 1 2 3 4 5 →