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May  2016, 36(5): 2855-2871. doi: 10.3934/dcds.2016.36.2855

## A note on quasilinear wave equations in two space dimensions

 1 School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Received  June 2015 Revised  September 2015 Published  October 2015

In this paper, we give an alternative proof of Alinhac's global existence result for the Cauchy problem of quasilinear wave equations with both null conditions in two space dimensions[S. Alinhac, The null condition for quasilinear wave equations in two space dimensions I, Invent. Math. 145 (2001) 597--618]. The innovation in our proof is that when applying the vector fields method to do the generalized energy estimates, we don't employ the Lorentz boost operator and only use the general space-time derivatives, spatial rotation and scaling operator.
Citation: Dongbing Zha. A note on quasilinear wave equations in two space dimensions. Discrete & Continuous Dynamical Systems - A, 2016, 36 (5) : 2855-2871. doi: 10.3934/dcds.2016.36.2855
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