| 带有非线性耗散项的非线性波方程弱解的存在性 |
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| 引用本文： | 景婵.带有非线性耗散项的非线性波方程弱解的存在性[J].太原师范学院学报(自然科学版),2013(2):47-48,51. |
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| 作者姓名： | 景婵 |
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| 作者单位： | 山西大学数学科学学院,山西太原030006 |
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| 摘 要： | 证明带有非线性耗散项ρ(x,ut)=|ut|rut的非线性波方程utt-△u+ρ(x,ut)=f(x,u)弱解的存在性,文章将利用迦辽金方法和Sobolev嵌入定理来证明.
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| 关 键 词： | 非线性波方程 迦辽金方法 Sobolev嵌入定理 弱解的存在性 |
Existence of Weak Solutions to the Nonlinear Wave Equations with Nonlinear Dissipations Terms |
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| Jing Chan.Existence of Weak Solutions to the Nonlinear Wave Equations with Nonlinear Dissipations Terms[J].Journal of Taiyuan Normal University:Natural Science Edition,2013(2):47-48,51. |
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| Authors: | Jing Chan |
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| Institution: | Jing Chan (School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China) |
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| Abstract: | To describepaper the existence of weak solutions to the nonlinear wave equa tions utt-△u＋ρ（x,ut）=f（x,u） with nonlinear dissipations like ρ（x,ut）=｜ut｜rut, we will use Faedo-Galekin mathodand Sobolev embedding theorem to prove this conclusion. |
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| Keywords: | nonlinear wave equations Faedo-Galerkin mathod Sobolev embedding the ex-istence of weak solutions |
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