HALF-SPACE FOURIER TRANSFORM IN APPLICATION TO NON-LINEAR HYPERBOLIC INITIAL-BOUNDARY-VALUE PROBLEM - LOW REGULARITY SOLUTIONS

Lada A.

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HALF-SPACE FOURIER TRANSFORM IN APPLICATION TO NON-LINEAR HYPERBOLIC INITIAL-BOUNDARY-VALUE PROBLEM - LOW REGULARITY SOLUTIONS

机译：半空间傅立叶变换在非线性双曲初值-边值问题中的应用-低正则解

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The Dirichlet initial-boundary-value problem in the half-space R-t x R-+(3) for a non-linear hyperbolic system is studied. About the nonlinearity the null condition structure is imposed. Under the smallness conditions on the initial data the existence of low regularity solutions, on a given interval of time, is proved. (C) 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd. [References: 11]

机译：研究了非线性双曲型系统在半空间R-t x R-+（3）中的Dirichlet初边值问题。关于非线性，施加了零条件结构。在初始数据的小条件下，证明了在给定的时间间隔内低规则性解的存在。（C）1997年，作者是B. G. Teubner斯图加特-约翰·威利父子有限公司[参考文献：11]

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《Mathematical Methods in the Applied Sciences》 |1997年第18期|共18页
作者
Lada A.;
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正文语种 eng
中图分类数学;
关键词
Local existence; Wave-equations;

机译：局部存在;波方程;

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专利

1. HALF-SPACE FOURIER TRANSFORM IN APPLICATION TO NON-LINEAR HYPERBOLIC INITIAL-BOUNDARY-VALUE PROBLEM - LOW REGULARITY SOLUTIONS [J] . Lada A. Mathematical Methods in the Applied Sciences . 1997,第18期

机译：半空间傅立叶变换在非线性双曲初值-边值问题中的应用-低正则解
2. Application of the fast Fourier transform to the computation of the Sommerfeld integral for a vertical electric dipole above a half-space [J] . Dvorak S.L. IEEE Transactions on Antennas and Propagation . 1992,第7期

机译：快速傅里叶变换在半空间以上垂直电偶极子的Sommerfeld积分计算中的应用
3. Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs [J] . Kmit I., Recke L. Journal of Differential Equations . 2015,第11期

机译：抽象方程的解正则性和平滑依赖性及其在双曲PDE中的应用
4. Computation of transient far radiation field of anarbitrarily oriented dipole over the half-space using the reciprocity theorem and Fourier transform [C] . Cao Le, Wei Bing, Ge De-biao, 2012 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition. . 2012

机译：利用互易性定理和傅立叶变换计算半空间任意取向偶极子的瞬态远辐射场
5. Laplace transform deconvolution and its application to perturbation solution of non-linear diffusivity equation [D] . Ahmadi, Mahmood. 2012

机译：拉普拉斯变换去卷积及其在非线性扩散方程扰动解的应用
6. Application of low-order potential solutions to higher-order vertical traction boundary problems in an elastic half-space [O] . Adam G. Taylor, Jae H. Chung 2018

机译：低阶势解在弹性半空间中高阶垂直牵引边界问题中的应用
7. Erratum to “Fourier-transform solution to the problem of steady-state transonic motion of a line load across the surface of an elastic half-space (The corrected Cole-Huth solution)” Applied Mathematics Letters, Vol. 14, No. 4, pp. 437-441, 2001 [O] . Rahman M. 2002

机译：勘误表“对线性负载在弹性半空间表面上的稳态跨音速运动问题进行傅立叶变换的解决方案（校正的Cole-Huth解决方案）”，应用数学学报，第1卷。 14号，第437-441页，2001年
8. Fourier Transform Restriction Phenomena for Certain Lattice Subsets andApplications to Non-Linear Evolution Equations (New Version) [R] . Bourgain, J. 1992

机译：某些格子集的傅里叶变换限制现象及其对非线性发展方程的应用（新版）

HALF-SPACE FOURIER TRANSFORM IN APPLICATION TO NON-LINEAR HYPERBOLIC INITIAL-BOUNDARY-VALUE PROBLEM - LOW REGULARITY SOLUTIONS

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