Hyungjin Huh

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In this thesis, we propose a novel choice of gauge for the Yang-Mills equations on the Minkowski space R. A crucial ingredient is the associated Yang-Mills heat flow. Unlike the previous approaches (as in [15] and [33]), the new gauge is applicable for large data, while the special analytic structure of the Yang-Mills equations is still manifest. As the(More)
and Applied Analysis 3 The following type of Strichartz estimate was used in [19, 20] for the study of the Benjamin-Ono equation. We refer to [12] for the counterpart to the Schrödinger equation. Lemma 5. Let T ≤ 1 and V be a solution to the equation i∂ t V + ΔV = F 1 + F 2 , (t, x) ∈ (0, T) ×R 2 . (15) Then, for δ ∈ R and ε > 0, one has 󵄩󵄩󵄩󵄩 J δ V(More)
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