GLOBAL EXISTENCE FOR SEMILINEAR DAMPED WAVE EQUATIONS IN THE SCATTERING CASE

Bai Yige; Liu Mengyun

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GLOBAL EXISTENCE FOR SEMILINEAR DAMPED WAVE EQUATIONS IN THE SCATTERING CASE

机译：散射箱中半线性阻尼波方程的全局存在

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We study the global existence of solutions to semilinear damped wave equations in the scattering case with power-type non linearity on the derivatives, posed on nontrapping asymptotically Euclidean manifolds. The main idea is to shift initial time by local existence. As a result, we could convert the damping term to small enough perturbation and obtain the global existence.

机译：我们研究了在衍生物上具有功率型非线性的散射箱中的半线性阻尼波方程的全局存在的解决方案，在非竞争的渐近欧几里德歧管上提出。主要思想是通过本地存在来改变初始时间。结果，我们可以将阻尼术语转换为足够的足够的扰动并获得全球存在。

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来源
《Differential and integral equations》 |2019年第4期|共16页
作者
Bai Yige; Liu Mengyun;
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Zhejiang Univ Sch Math Sci Hangzhou 310027 Zhejiang Peoples R China;

Zhejiang Univ Sch Math Sci Hangzhou 310027 Zhejiang Peoples R China;

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正文语种 eng
中图分类微分方程、积分方程;
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专利

1. GLOBAL EXISTENCE FOR SEMILINEAR DAMPED WAVE EQUATIONS IN THE SCATTERING CASE [J] . Bai Yige, Liu Mengyun Differential and integral equations . 2019,第3a4期

机译：散射箱中半线性阻尼波方程的全局存在
2. Global existence and stability for semilinear wave equations damped by time-dependent boundary frictions [J] . Jiao Zhe, Xu Yong Applied mathematics and computation . 2019,第期

机译：时间依赖边界摩擦阻尼半线性波动方程的全局存在和稳定性
3. Global existence and blow-up for semilinear damped wave equations in three space dimensions [J] . Kato Masakazu, Sakuraba Miku Nonlinear Analysis: An International Multidisciplinary Journal . 2019,第期

机译：三个空间尺寸的半线性阻尼波方程的全局存在和爆炸
4. GLOBAL EXISTENCE FOR SEMILINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY [C] . S.K.Di, rnD., Yang, Annals of Differential Equations . 2007

机译：具无限时滞的半线性函数泛函微分方程的整体存在性
5. Local Existence and Breakdown of Scattering Behavior for Semilinear Schro?dinger Equations [D] . Lee, Gyu Eun. 2021

机译：半线性施罗散射行为的局部存在和分解
6. Existence of anti-periodic (differentiable) mild solutions to semilinear differential equations with nondense domain [O] . Jinghuai Liu, Litao Zhang -1

机译：具有稠密域的半线性微分方程的反周期（可微）温和解的存在性
7. Errata for ``Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds'', ``Semilinear wave equations on the Schwarzschild manifold I: Local Decay Estimates'', and ``The wave equation on the Schwarzschild metric II: Local Decay for the spin 2 Regge Wheeler equation'' [O] . Blue, P., Soffer, A. 2006

机译：“全局存在与非线性散射”的勘误表关于schwarzschild流形的薛定谔方程，``半线性波 schwarzschild流形上的方程式I：局部衰变估计''和'` 关于schwarzschild度量II的波动方程：自旋的局部衰减2 Regge Wheeler等式''

GLOBAL EXISTENCE FOR SEMILINEAR DAMPED WAVE EQUATIONS IN THE SCATTERING CASE

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