LOCAL CAUCHY PROBLEM FOR YANG-MILLS HEAT FLOWS
Keywords:
Local Cauchy problem; Local existence and uniqueness problem; Yang-Mills heat flows; Yang-Mills connections; Geometric heat flows
Abstract
In this paper, we are interested in the following nonlinear heat equation
,
studied by Grotowski in 2001 in studying the special solutions for s Yang-Mills heat flows. We aim to study the Cauchy problem for the equation. We reply on the regularity of the semi-group Firstly, the model is not compatible with the semi-group, we need to transfer to another one and the main difficulty is to handle the unbounded nonlinearity Finally, we proved the Cauchy problem for the model that for any initial data , there exists such that the above equation has a unique solution for all .
điểm /
đánh giá
Published
2022-05-31
Section
NATURAL SCIENCE – ENGINEERING – TECHNOLOGY