LOCAL EXISTENCE FOR SEMILINEAR WAVE EQUATIONS AND APPLICATIONS TO YANG-MILLS EQUATIONS

Yung Fu Fang

doi:10.1142/S0219891605000373

LOCAL EXISTENCE FOR SEMILINEAR WAVE EQUATIONS AND APPLICATIONS TO YANG-MILLS EQUATIONS

Yung Fu Fang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this work we are concerned with a local existence of certain semi-linear wave equations for which the initial data has minimal regularity. Assuming the initial data are in H¹⁺ and H for any> 0, we prove a local result by using a fixed point argument, the main ingredient being an a priori estimate for the quadratic nonlinear term uDu. The technique applies to the Yang-Mills equations in the Lorentz gauge.

Original language	English
Pages (from-to)	61-76
Number of pages	16
Journal	Journal of Hyperbolic Differential Equations
Volume	2
Issue number	1
DOIs	https://doi.org/10.1142/S0219891605000373
Publication status	Published - 2005 Mar 1

All Science Journal Classification (ASJC) codes

Analysis
General Mathematics

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10.1142/S0219891605000373

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title = "LOCAL EXISTENCE FOR SEMILINEAR WAVE EQUATIONS AND APPLICATIONS TO YANG-MILLS EQUATIONS",

abstract = "In this work we are concerned with a local existence of certain semi-linear wave equations for which the initial data has minimal regularity. Assuming the initial data are in H1+ and H for any> 0, we prove a local result by using a fixed point argument, the main ingredient being an a priori estimate for the quadratic nonlinear term uDu. The technique applies to the Yang-Mills equations in the Lorentz gauge.",

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LOCAL EXISTENCE FOR SEMILINEAR WAVE EQUATIONS AND APPLICATIONS TO YANG-MILLS EQUATIONS

Abstract

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