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+%% 
+%%  An UIT Edition example
+%% 
+%%  Example 01-00-3 on page 4.
+%% 
+%%  Copyright (C) 2010 Herbert Voss
+%% 
+%%  It may be distributed and/or modified under the conditions
+%%  of the LaTeX Project Public License, either version 1.3
+%%  of this license or (at your option) any later version.
+%% 
+%%  See http://www.latex-project.org/lppl.txt for details.
+%% 
+%% 
+%% ==== 
+% Show page(s) 1
+%% 
+\documentclass[]{exaarticle}
+\pagestyle{empty}
+\setlength\textwidth{375.57637pt}
+\setlength\parindent{0pt}
+\setcounter{equation}{3}
+\renewcommand\theequation{1.\arabic{equation}}
+\StartShownPreambleCommands
+\usepackage{amsmath,esint}
+\newcommand\abs[1]{\left\lvert#1\right\rvert}
+\newcommand*\diff{\mathop{}\!\mathrm{d}}
+\StopShownPreambleCommands
+\begin{document}
+\setlength\jot{15pt}
+\begin{align*}
+\begin{split}\abs{I_1} &= \left\lvert \int_\Omega gRu\diff\Omega\right\rvert\\
+  & \le C_3\left[\int_\Omega\left(\int_{a}^x g(\xi,t)\diff\xi\right)^2\diff\Omega\right]^{1/2}
+       \times\left[\int_\Omega\left\{u^2_x+\frac{1}{k}
+    \left(\int_{a}^x cu_t\diff\xi\right)^2\right\}\diff\Omega\right]^{1/2}\\
+  & \le C_4\left\lvert \left\lvert f\left\lvert \widetilde{S}^{-1,0}_{a,-}W_2(\Omega,\Gamma_l)
+    \right\rvert\right\rvert\left\lvert \abs{u}\overset{\circ}\to W_2^{\widetilde{A}}
+    (\Omega;\Gamma_r,T)\right\rvert\right\rvert.
+\end{split}\\
+\begin{split}\abs{I_2} &= \left\lvert \int_{0}^T \psi(t)\left\{u(a,t)
+  -\int_{\gamma(t)}^a\frac{\diff\theta}{k(\theta,t)}
+  \int_{a}^\theta c(\xi)u_t(\xi,t)\diff\xi\right\}\diff t\right\rvert\\
+  & \le C_6\left\lvert \left\lvert f\int_\Omega\left\lvert \widetilde{S}^{-1,0}_{a,-}
+    W_2(\Omega,\Gamma_l)\right\rvert\right\rvert\left\lvert \abs{u}\overset{\circ}
+    \to W_2^{\widetilde{A}}(\Omega;\Gamma_r,T)\right\rvert\right\rvert.
+\end{split}\tag{\theequation$'$}
+\end{align*}
+\end{document}