WELL-POSEDNESS AND ILL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE MAXWELL-DIRAC SYSTEM IN 1 + 1 SPACE TIME DIMENSIONS

Mamoru Okamoto; Gustavo Ponce

首页> 外文期刊>Advances in differential equations >WELL-POSEDNESS AND ILL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE MAXWELL-DIRAC SYSTEM IN 1 + 1 SPACE TIME DIMENSIONS

【24h】

WELL-POSEDNESS AND ILL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE MAXWELL-DIRAC SYSTEM IN 1 + 1 SPACE TIME DIMENSIONS

机译：1 +1个空间时间维上的Maxwell-Dirac系统的Cauchy问题的适定性和不适性

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

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

We completely determine the range of Sobolev regularity for the Maxwell-Dirac system in 1 + 1 space time dimensions to be well-posed locally in the case that the initial data of the Dirac part regularity is of L~2. The well-posedness follows from the standard energy estimates. Outside the range for the well-posedness, we show either the flow map is not continuous or not twice differentiable at zero.

机译：在狄拉克部分正则性的初始数据为L〜2的情况下，我们完全确定了Maxwell-Dirac系统在1 + 1时空维度上的Sobolev正则性的范围，使其在本地具有良好的位置。适定性来自标准能量估算。在适定性范围之外，我们显示出流程图不是连续的，或者是零不可微分的。

著录项

来源
《Advances in differential equations》 |2013年第2期|共21页
作者
Mamoru Okamoto; Gustavo Ponce;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类微分方程、积分方程;
关键词
determine the range; the Maxwell-Dirac system; twice differentiable at zero;

机译：确定范围;麦克斯韦-狄拉克系统;零可微分两次;

相似文献

外文文献
中文文献
专利

1. WELL-POSEDNESS AND ILL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE MAXWELL-DIRAC SYSTEM IN 1 + 1 SPACE TIME DIMENSIONS [J] . Mamoru Okamoto, Gustavo Ponce Advances in differential equations . 2013,第1a2期

机译：1 +1个空间时间维上的Maxwell-Dirac系统的Cauchy问题的适定性和不适性
2. Well-posedness and ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces [J] . Nonlinear Analysis: An International Multidisciplinary Journal . 2020,第期

机译：临界Besov空间中多维趋化系统的良好良好和不良良好
3. Sharp well-posedness and ill-posedness of the three-dimensional primitive equations of geophysics in Fourier-Besov spaces [J] . Sun Jinyi, Cui Shangbin Nonlinear analysis. Real world applications . 2019,第期

机译：傅立叶-Besov空间中地球物理三维原始方程的尖锐良好良好。
4. Well-posedness of the Cauchy problem for the Maxwell-Dirac system in one space dimension [C] . Mamoru Okamoto MSJ-SI International Conference "Nonlinear Dynamics in Partial Differential Equations" . 2015

机译：一个空间尺寸中Maxwell-Dirac系统的Cauchy问题的良好问题
5. Time-periodic solutions of magnetoelastic systems and embedding of the attractor of 2-dimensional Navier-Stokes equations into euclidean spaces [D] . Mohebbi, Mahdi 2013

机译：磁弹性系统的时间周期解和二维Navier-Stokes方程吸引子嵌入欧氏空间
6. Well-posedness and qualitative behaviour of a semi-linear parabolic Cauchy problem arising from a generic model for fractional-order autocatalysis [O] . J. C. Meyer, D. J. Needham -1

机译：由分数阶自催化的通用模型引起的半线性抛物型柯西问题的适定性和定性行为
7. Well-posedness of the Cauchy problem for the Maxwell-Dirac system in one space dimension (Mathematical Analysis in Fluid and Gas Dynamics) [O] . Okamoto Mamoru 2012

机译：一维空间中麦克斯韦-狄拉克系统柯西问题的适定性（流体和气体动力学的数学分析）
8. Well-Posedness of Infinite-Dimensional Linear Systems in Time and Frequency Domain (Revised) [R] . Curtain, R. F. 1988

机译：无限维线性系统在时域和频域的适定性（修订）

WELL-POSEDNESS AND ILL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE MAXWELL-DIRAC SYSTEM IN 1 + 1 SPACE TIME DIMENSIONS

摘要

著录项

相似文献

相关主题

期刊订阅