A NOTE ON THE INITIAL-BOUNDARY VALUE PROBLEM FOR CONTINUITY EQUATIONS WITH ROUGH COEFFICIENTS

机译：关于具有粗糙系数的连续性方程的初始边界值问题的说明

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摘要

In this note we establish the existence of solutions of initial-boundary value problems for continuity equations with low regularity coefficients. We also announce a uniqueness result and some related counterexamples.

机译：在本说明中，我们建立了具有低规律性系数的连续性方程的初始边界值问题的解决方案。我们还宣布唯一性结果和一些相关的反例。

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来源
《International Conference on Hyperbolic Problems》|2014年||共10页
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作者
GIANLUCA CRIPPA; CARLOTTA DONADELLO; LAURA V. SPINOLO;
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原文格式 PDF
正文语种
中图分类 O174-53;
关键词
Continuity equation; initial-boundary value problem; transport equation; low regularity coefficients; existence;

机译：连续性方程;初始边界值问题;传输方程;低规律系数;存在;

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1. Initial-boundary value problems for continuity equations with BV coefficients [J] . Gianluca Crippa, Carlotta Donadello, Laura V. Spinolo Journal de Mathematiques Pures et Appliquees . 2014,第1期

机译：具有BV系数的连续性方程的初边值问题
2. Harnack's inequality and Holder older continuity for weak solutions of degenerate quasilinear equations with rough coefficients [J] . Monticelli D. D., Rodney S., Wheeden R. L. Nonlinear Analysis: An International Multidisciplinary Journal . 2015,第Null期

机译：具有粗糙系数的退化拟线性方程组弱解的Harnack不等式和Holder旧连续性。
3. INITIAL-BOUNDARY VALUE PROBLEMS FOR MULTI-TERM TIME-FRACTIONAL DIFFUSION EQUATIONS WITH x-DEPENDENT COEFFICIENTS [J] . Progress in Artificial Intelligence . 2020,第1期

机译：具有X依赖系数的多术时间分数扩散方程的初始边界值问题
4. A NOTE ON THE INITIAL-BOUNDARY VALUE PROBLEM FOR CONTINUITY EQUATIONS WITH ROUGH COEFFICIENTS [C] . GIANLUCA CRIPPA, CARLOTTA DONADELLO, LAURA V. SPINOLO International Conference on Hyperbolic Problems . 2014

机译：关于具有粗糙系数的连续性方程的初始边界值问题的说明
5. Uniform estimates for the Zakharov system and the initial-boundary value problem for the Korteweg-de Vries and nonlinear Schroedinger equations. [D] . Holmer, Justin Alexander. 2004

机译：Zakharov系统的统一估计以及Korteweg-de Vries和非线性Schroedinger方程的初边值问题。
6. Continuum and Discrete Initial-Boundary Value Problems and Einstein’s Field Equations [O] . Olivier Sarbach, Manuel Tiglio -1

机译：连续和离散初始边值问题和爱因斯坦的场方程
7. A note on the initial-boundary value problem for continuity equations with rough coefficients [O] . Crippa Gianluca, Donadello Carlotta, Spinolo Laura Valentina 2014

机译：关于粗系数连续方程初边值问题的一个注记

A NOTE ON THE INITIAL-BOUNDARY VALUE PROBLEM FOR CONTINUITY EQUATIONS WITH ROUGH COEFFICIENTS

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