%% %% Der Mathematiksatz mit LaTeX, 1. Auflage 2009 %% %% Example 1-0-3 on page 4. %% %% Copyright (C) 2009 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. %% \documentclass[]{ttctexa} \pagestyle{empty} \setcounter{page}{6} \setlength\textwidth{355.65944pt} \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}