Global existence of solutions for semi-linear wave equation with scale-invariant damping and mass in exponentially weighted spaces

Palmieri Alessandro

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Global existence of solutions for semi-linear wave equation with scale-invariant damping and mass in exponentially weighted spaces

机译：具有鳞片不变阻尼和指数加权空间的半线性波动方程解决方案的全局存在

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摘要

In this paper we consider the following Cauchy problem for the semi-linear wave equation with scale-invariant dissipation and mass and power non-linearity:

机译：在本文中，我们考虑了具有比例不变耗散和质量和电力非线性的半线性波动方程的以下Cauchy问题：

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来源
《Journal of Mathematical Analysis and Applications》 |2018年第2期|共26页
作者
Palmieri Alessandro;
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作者单位

Tech Univ Bergakad Freiberg Inst Appl Anal Fac Math &

Comp Sci Pruferstr 9 D-09596 Freiberg Germany;

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原文格式 PDF
正文语种 eng
中图分类数学分析;应用数学;
关键词
Nonlinear wave equation; Scale-invariant coefficients; Global existence; Blow-up; Critical exponent; Exponentially weighted spaces;

机译：非线性波方程;鳞片不变系数;全球存在;爆炸;批判性指数;指数加权空间;

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专利

1. Global existence of solutions for semi-linear wave equation with scale-invariant damping and mass in exponentially weighted spaces [J] . Palmieri Alessandro Journal of Mathematical Analysis and Applications . 2018,第2期

机译：具有鳞片不变阻尼和指数加权空间的半线性波动方程解决方案的全局存在
2. A competition between Fujita and Strauss type exponents for blow-up of semi-linear wave equations with scale-invariant damping and mass [J] . Palmieri Alessandro, Reissig Michael Journal of Differential Equations . 2019,第2a3期

机译：富士塔和施特劳斯型指数与鳞片不变阻尼和质量爆破半线性波动方程的竞争
3. LOCAL EXISTENCE AND SUFFICIENT CONDITIONS OF THE NON-GLOBAL SOLUTION FOR WEIGHTED DAMPED WAVE EQUATIONS [J] . Hadj Kaddour Tayeb, Ali Hakem Facta Universitatis. Series Mathematics and Informatics . 2018,第0期

机译：加权阻尼波方程非整体解的局部存在性和充分条件
4. POROUS MEDIA EQUATIONS, FAST DIFFUSIONS EQUATIONS AND THE EXISTENCE OF GLOBAL WEAK SOLUTION FOR THE QUASI-SOLUTIONS OF COMPRESSIBLE NAVIER-STOKES EQUATIONS [C] . BORIS HASPOT International Conference on Hyperbolic Problems . 2014

机译：多孔介质方程，快速扩散方程以及压缩Navier-Stokes方程准溶液的全局弱解决方案
5. Global existence of solutions to nonlinear wave equations by weighted Strichartz inequalities. [D] . Alpay, Nimet. 2004

机译：加权Strichartz不等式对非线性波动方程解的整体存在性。
6. Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales [O] . Bing Li, Yongkun Li, Xuemei Zhang -1

机译：时标上n维中立型动力方程周期解的存在性和全局指数稳定性
7. Global existence of solutions for semi-linear wave equation with scale-invariant damping and mass in exponentially weighted spaces [O] . Palmieri, Alessandro 2017

机译：具有时滞的半线性波动方程解的整体存在性指数加权空间中的尺度不变阻尼和质量
8. Similarity Transformations, the Structure of the Travelling Waves Solution and the Existence of a Global Smooth Solution to Generalized Kuramoto-Sivashinsky Type Equations [R] . Guo, B. 1988

机译：相似变换，行波解的结构和广义Kuramoto-sivashinsky型方程整体光滑解的存在性

Global existence of solutions for semi-linear wave equation with scale-invariant damping and mass in exponentially weighted spaces

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