deletions | additions       diff --git a/paragraph_2_Mimic_the_derivation__.tex b/paragraph_2_Mimic_the_derivation__.tex  index e984018..37459f2 100644  --- a/paragraph_2_Mimic_the_derivation__.tex  +++ b/paragraph_2_Mimic_the_derivation__.tex 
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\]  $$\int_{0}^{\infty}\int_{-\infty}^{\infty} \phi_{t}u + \phi_{x}f(u) dxdt + \int_{-\infty}^{\infty} \phi(x,0)u_{0}(x)dx = 0 \forall \phi \into \in  C_{0}^{1}(\mathbb{R}^2 $$