AI 中文总结
研究线性输运方程的非局部到局部极限，引入非局部版本及适定性理论，推导相关方程作为极限，部分结果适用于任意维度和测度初始数据。
AI 中文摘要
我们开启了对线性输运方程非局部到局部极限的研究。引入了线性输运方程的非局部版本以及针对具有测度初始数据的分布解的适定性理论。通过推导相关线性输运方程作为非局部到局部极限进行研究。部分结果适用于任意维度和测度初始数据。
英文摘要
We initiate the study of the nonlocal to local limit for linear transport equa- tions. A nonlocal version of the linear transport equation is introduced alongside an appropriate well-posedness theory for distributional solutions with measure initial data. We proceed by deriving the associated linear transport equation as a nonlocal-to-local limit. Some of the results apply in arbitrary dimension and for measure initial data.
Comments22 pages
