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Local existence for semilinear wave equations and applications to yang-mills equations yung-fu fang.
| Content Provider | CiteSeerX |
|---|---|
| Abstract | Abstract. In this work we are concerned with a local existence of cer-tain semilinear 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 for the problem using a fixed point argument. The main ingredient is an a priori estimate for the quadratic nonlinear term uDu. They can be applied to the Yang-Mills equations in the Lorentz gauge. 0. Introduction. In this paper, we are interested in deriving a new estimate which en-ables us to establish a local existence result for Yang-Mills equations with minimal assumptions on the regularity of the initial data. For this pur-pose, we want to study the following type of system of semilinear wave |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Initial Data Yang-mills Equation Fixed Point Argument Main Ingredient Minimal Assumption Priori Estimate Semilinear Wave Local Existence Result New Estimate Cer-tain Semilinear Wave Equation Following Type Lorentz Gauge Local Existence Local Result Minimal Regularity Quadratic Nonlinear Term Udu |
| Content Type | Text |
| Resource Type | Article |
