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强阻尼波方程解的整体存在性和一致衰减性 被引量：2

Global Existence and Uniform Decay Rates of Solutions for a Class of Strongly Damped Wave Equations
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摘要 这篇文章研究一类带非线性源项和非线性边界阻尼项的强阻尼波方程强解和弱解的整体存在性和唯一性,进而也讨论解的一致衰减． In this paper the authors study the existence and uniqueness of global strong solutions and global weak solutions for a class of strongly damped wave equations with nonlinear source term and nonlinear boundary damping term. The authors also discuss the uniform decay of solutions.
作者 方道元 徐江
机构地区 浙江大学数学系
出处 《数学物理学报（A辑）》 CSCD 北大核心 2006年第5期753-765,共13页 Acta Mathematica Scientia
基金 国家自然科学基金(10271108 10571158)资助
关键词 强阻尼 Faedo-Galerkin 一致衰减 势井 Strongly damped Faedo-Galerkin Uniform decay Potential well
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献10

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二级参考文献7

  • 1Georgiev V,Todorova G.Existence of a solution of the wave equation with nonlinear damping and source terms[J].J Differential Equations,1994,109:295-308.
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共引文献14

同被引文献18

  • 1刘亚成,刘萍.关于位势井及其对强阻尼非线性波动方程的应用[J].应用数学学报,2004,27(4):710-722. 被引量：18
  • 2徐江.一类强阻尼波方程解的存在性和爆破性[J].高校应用数学学报（A辑）,2006,21(2):157-164. 被引量：2
  • 3刘亚成,万维明,吕淑娟.神经传播型方程初值问题解的Blow-up[J].应用数学学报,1997,20(2):289-293. 被引量：5
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  • 6[3]Monica Conti.Vittorino Pata.Marco Squassina.Strongly Damped Wave Equations on with Critical Nonlinearities[J].Preprint,2003.
  • 7[8]FILIPPO.GAZZOLA,MARCO SQUASSINA.Global Solutions and Finite Time Blow up for Damped Semilinear Wave Equations[J].ANN.I.H.Pointcare.AN.,2006,23(2):185-207.
  • 8[11]Vittorino Pata,Marco Squassina.On the Strongly Damped Wave Equations[J].Commu.Math.Phys.,2005,253(2):511-533.
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引证文献2

二级引证文献2

数学物理学报（A辑）
2006年 第5期

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