# LaTeX2HTML 2002 (1.62)
# Associate images original text with physical files.


$key = q/widetilde{a};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$\widetilde{a}$">|; 

$key = q/sigma(x,t)>1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="91" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$\sigma(x,t)&gt;1$">|; 

$key = q/Gamma;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$\Gamma$">|; 

$key = q/b_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$b_i$">|; 

$key = q/Q;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$Q$">|; 

$key = q/delta_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$\delta_i$">|; 

$key = q/gamma_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$\gamma_i$">|; 

$key = q/a_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$a_i$">|; 

$key = q/c;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$c$">|; 

$key = q/p_i(x,t)>1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$p_i(x,t)&gt;1$">|; 

$key = q/{displaymath}{u=0{{rm{on}Gamma},qquad{u(x,0)=u_{0}(x){{rm{in}Omega}.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="302" HEIGHT="33" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="\begin{displaymath}
{u=0 {\rm on} \Gamma}, \qquad {u(x,0)=u_{0}(x) {\rm in}\
\Omega}.
\end{displaymath}">|; 

$key = q/p(x,t)-;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$p(x,t)-$">|; 

$key = q/sigma;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$\sigma$">|; 

$key = q/{displaymath}u_{t}-sumlimits_{i=1}^{n}D_{i}left(a_{i}(x,t,u)|u|^{gamma_i(x,t)}D__i(x,t)}uright)+c(x,t,u)|u|^{sigma(x,t)}u=f(x,t){displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="665" HEIGHT="62" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="\begin{displaymath}
u_{t}-\sum\limits_{i=1}^{n}D_{i}\left(a_{i}(x,t,u)
\vert u\v...
...ta_i(x,t)}u\right)
+c(x,t,u)\vert u\vert^{\sigma(x,t)}u=f(x,t)
\end{displaymath}">|; 

$key = q/Q=Omegatimes(0,T];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="125" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$Q=\Omega\times (0,T]$">|; 

$key = q/p_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$p_i$">|; 

$key = q/a_i>0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$a_i&gt;0$">|; 

$key = q/Omegasubset{mathbb{R}{^n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$\Omega\subset \mathbb{R}^n$">|; 

$key = q/cgeq0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$c\geq 0$">|; 

$key = q/{displaymath}u_t-sumlimits_{i=1}^nD_{i}left(a_i(x,t,u)|D_{i}u|^{p_i(x,t)-2}D_iurc(x,t,u)|u|^{sigma(x,t)-2}u=f(x,t)quad{{rm{in}Q,{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="614" HEIGHT="62" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="\begin{displaymath}
u_t-\sum\limits_{i=1}^nD_{i}\left(a_i(x,t,u)\vert D_{i}u\ver...
...(x,t,u)\vert u\vert^{\sigma(x,t)-2}u=f(x,t)\quad {\rm in} Q,
\end{displaymath}">|; 

1;

