The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation

MengWu

首页> 外文期刊>Abstract and applied analysis >The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation

【24h】

The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation

机译：非线性方程的局部强解和整体弱解

获取原文

获取外文期刊封面封底 >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The existence and uniqueness of local strong solutions for a nonlinear equation are investigated in the Sobolev spaceC([0,T);Hs(R)) ∩C1([0,T);Hs-1(R))provided that the initial value lies inHs(R)withs>3/2. Meanwhile, we prove the existence of global weak solutions inL∞([0,∞);L2(R))for the equation.

机译：研究了Sobolev空间中非线性方程局部强解的存在性和唯一性C（[0，T）; Hs（R））∩C1（[0，T）; Hs-1（R））值位于> 3/2的Hs（R）中。同时，我们证明了方程L∞（[0，∞）; L2（R））中存在全局弱解。

著录项

来源
《Abstract and applied analysis》 |2013年第14期|共5页
作者
MengWu;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种
中图分类数学分析;
关键词

相似文献

外文文献
中文文献
专利

1. The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation [J] . MengWu Abstract and applied analysis . 2013,第6期

机译：非线性方程的局部强解和整体弱解
2. Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity [J] . Nonlinear Analysis: An International Multidisciplinary Journal . 2020,第期

机译：具有非线性弱阻尼，线性强阻阻尼和对数非线性的四阶分散波方程的全局良好的解决方案
3. Global existence and open loop exponential stabilization of weak solutions for nonlinear Schr?dinger equations with localized external Neumann manipulation [J] . Türker ?zsar? Nonlinear Analysis: An International Multidisciplinary Journal . 2013,第Null期

机译：带有局部外部Neumann操纵的非线性Schr？dinger方程的弱解的整体存在和开环指数稳定
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. Uniqueness and singularities of weak solutions to some nonlinear wave equations. [D] . Zhang, Qingtian. 2016

机译：某些非线性波动方程弱解的唯一性和奇异性。
6. The Stability Principle and global weak solutions of the free surface semi-geostrophic equations in geostrophic coordinates [O] . M. J. P. Cullen, T. Kuna, B. Pelloni, -1

机译：根瘤坐标中自由表面半地嗜酸性方程的稳定性原理和全局弱解
7. Weak-strong uniqueness in weighted L2 spaces and weak suitable solutions in local Morrey spaces for the MHD equations [O] . Pedro Gabriel Fernández-Dalgo, Oscar Jarrín 2021

机译：加权L2空间中弱强度的唯一性，以及MHD方程的本地Morrey空间中的弱合适解决方案

The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation

摘要

著录项

相似文献

相关主题

期刊订阅