论文信息 - MODIFICATION OF THE VECTOR-FIELD METHOD RELATED TO QUADARTICALLY PERTURBED WAVE EQUATIONS IN TWO SPACE DIMENSIONS

MODIFICATION OF THE VECTOR-FIELD METHOD RELATED TO QUADARTICALLY PERTURBED WAVE EQUATIONS IN TWO SPACE DIMENSIONS

. The purpose of this paper is to shed light on the fact that the global solvability for the quadratically perturbed wave equation with small initial data in two space dimension can be shown by using only a restricted set of vector ﬁelds associated with the space-time translation and spatial rotations. As a by-product, we establish almost best possible decay estimates related to the above vector ﬁelds, as well as the tangential derivatives to the forward light cones.

H. Kubo

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