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math-ph2021
The Yang-Mills heat equation on three-manifolds with boundary
Nelia Charalambous
In this short note we provide an expository account of the work of Leonard Gross and the author on the Yang-Mills heat equation over smooth three-manifolds with boundary.
math-ph2016
Initial behavior of solutions to the Yang-Mills heat equation
Nelia Charalambous, Leonard Gross
We explore the small-time behavior of solutions to the Yang-Mills heat equation with rough initial data. We consider solutions with initial value , where…
math-ph2014
Neumann domination for the Yang-Mills heat equation
Nelia Charalambous, Leonard Gross
Long time existence and uniqueness of solutions to the Yang-Mills heat equation have been proven over a compact 3-manifold with boundary for initial data of finite energy. In the p…