三维磁静力方程与Grad-Rubin边界值
The three dimensional magneto-hydrostatic equations with Grad-Rubin boundary value
AI总结：
本文通过不动点论证和伪微分算子，在微扰机制下证明了三维磁静力方程在Grad-Rubin边界条件下的适定性，并简化了二维情形的证明。
摘要：
本文研究了在Grad-Rubin边界值条件下的三维磁静力方程的适定性。证明依赖于不动点论证，通过使用具有Hölder空间中有限正则性符号的伪微分算子，在微扰机制下构造椭圆-双曲问题的解。作为副产品，本文所采用的技术更加灵活，并简化了先前二维情形下的证明论证。
英文摘要：
In this work, we study the well-posedness of the three dimensional magneto-hydrostatic equation under Grad-Rubin boundary value conditions. The proof relies on a fixed point argument to construct solutions to an elliptic-hyperbolic problem in a perturbative regime by means of pseudo-differential operators with symbols with limited regularity in Hölder spaces. As a byproduct, the employed technique in this work is more flexible and simplifies the arguments of the proof for the previous two-dimensional setting.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
