The Yang-Mills Heat Equation with Finite Action in Three Dimensions.

Cover
Title page
Chapter 1. Introduction
Chapter 2. Statement of results
2.1. Strong solutions
2.2. Gauge groups
2.3. Main theorem
2.4. The ZDS procedure and the augmented equation
Chapter 3. Solutions for the augmented Yang-Mills heat equation
3.1. The integral equation and path space
3.2. Free propagation lies in the path space \P_{ }^{ }
3.3. Contraction estimates
3.4. Proof of existence of mild solutions
3.5. (⋅) has finite action
3.6. Mild solutions are strong solutions
Chapter 4. Initial behavior of solutions to the augmented equation
4.1. Identities
4.2. Differential inequalities and initial behavior
4.3. Initial behavior, order 0
4.4. Initial behavior, order 1
4.5. Initial behavior, order 2
4.6. The case of infinite action
4.7. High ^{ } bounds via Neumann domination
Chapter 5. Gauge groups
5.1. Notation and statements
5.2. Multiplier bounds for
5.3. \G_{1, } and \G₁₊ ₂₀₉₀ are groups
5.4. \G_{1, } is a topological group
5.5. \G₁₊ ₂₀₉₀ is a topological group if ≥1/2
5.6. Completeness
Chapter 6. The conversion group
6.1. The ZDS procedure
6.2. estimates
6.3. The vertical projection
6.4. Integral representation of _{ }⁻¹ _{ }
6.5. Estimates for _{ }⁻¹ _{ }
6.6. Convergence of _{ }⁻¹ _{ }
6.7. Smooth ratios
6.8. Proof of Theorem 6.2
Chapter 7. Recovery of from
7.1. Construction of
7.2. Initial behavior of
7.3. Uniqueness of
Bibliography
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