Mathematical Sciences: Constrained Variational Bicomplexes

9403788 Anderson这项研究涉及到用微分几何和拓扑技术研究变分双复及其在数学物理中的微分方程和守恒定律的应用。在现代变分理论的背景下，我们将特别注意欧拉-拉格朗日复数。该方法适用于爱因斯坦真空方程的分析。它们也适用于数学物理和理论力学中出现的许多偏微分方程组。* * *

9403788 Anderson The research concerns the study of the variational bicomplex and its applications to differential equations and conservation laws in mathematical physics using differential-geometric and topological techniques. Particular attention will be paid to the Euler-Lagrange complex in the setting of the modern theory of the calculus of variations. The methods are applicable to analyzing the Einstein vacuum equations. They are also applicable to to many systems of partial differential equations which arise in mathematical physics and theoretical mechanics. ***