%0 Journal Article
%T Pullback Exponential Attractors for  Nonautonomous Reaction Diffusion  Equations in H<sub>0</sub><sup style="margin-left:-6px;">1</sup>
%A Yongjun Li
%A Yanhong Zhang
%A Xiaona Wei
%J Journal of Applied Mathematics and Physics
%P 730-736
%@ 2327-4379
%D 2015
%I Scientific Research Publishing
%R 10.4236/jamp.2015.37087
%X <p class=\"MsoNormal\">
	<span lang=\"EN-US\">Under the assumption that <v:shapetype id=\"_x0000_t75\" coordsize=\"21600,21600\" o:spt=\"75\" o:preferrelative=\"t\" path=\"m@4@5l@4@11@9@11@9@5xe\" filled=\"f\" stroked=\"f\">
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 <v:imagedata src=\"file:///C:\Users\fliu\AppData\Local\Temp\msohtmlclip1\01\clip_image001.wmz\" o:title=\"\">
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 <o:oleobject type=\"Embed\" progid=\"Equation.DSMT4\" shapeid=\"_x0000_i1025\" drawaspect=\"Content\" objectid=\"_1497171136\">
 </o:oleobject>
</xml><![endif]-->&nbsp;g(t) is translation bounded
in<img src=\"Edit_c098c140-a3ba-47cf-83a9-673e9c22a64d.bmp\" alt=\"\" /> <v:shape id=\"_x0000_i1026\" type=\"#_x0000_t75\" style=\"width:60.75pt;height:17.25pt;\" o:ole=\"\">
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</v:imagedata></v:shape><!--[if gte mso 9]><xml>
 <o:oleobject type=\"Embed\" progid=\"Equation.DSMT4\" shapeid=\"_x0000_i1026\" drawaspect=\"Content\" objectid=\"_1497171137\">
 </o:oleobject>
</xml><![endif]-->, and using the method developed in [3], we prove the
existence of pullback exponential attractors in <img src=\"Edit_6fb27263-fb82-41d8-b70b-75576c8402e2.bmp\" alt=\"\" /><v:shape id=\"_x0000_i1027\" type=\"#_x0000_t75\" style=\"width:32.25pt;height:17.25pt;\" o:ole=\"\">
 <v:imagedata src=\"file:///C:\Users\fliu\AppData\Local\Temp\msohtmlclip1\01\clip_image003.wmz\" o:title=\"\">
</v:imagedata></v:shape><!--[if gte mso 9]><xml>
 <o:oleobject type=\"Embed\" progid=\"Equation.DSMT4\" shapeid=\"_x0000_i1027\" drawaspect=\"Content\" objectid=\"_1497171138\">
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</xml><![endif]-->&nbsp;for nonlinear reaction
diffusion equation with polynomial growth nonlinearity(<img
%K Dynamical System
%K Pullback Exponential Attractors
%K Reaction Diffusion Equation
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=57569