Existence of Global Attractors in <inline-formula> <graphic file="1687-2770-2009-563767-i1.gif"/></inline-formula> for <inline-formula> <graphic file="1687-2770-2009-563767-i2.gif"/></inline-formula>-Laplacian Parabolic Equation in <inline-formula> <graphic file="1687-2770-2009-563767-i3.gif"/></inline-formula>
<p>Abstract</p> <p>We study the long-time behavior of solution for the <inline-formula> <graphic file="1687-2770-2009-563767-i4.gif"/></inline-formula>-Laplacian equation <inline-formula> <graphic file="1687-2770-2009-563767-i5.gif"/&g...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2009/563767 |
| _version_ | 1817996683002249216 |
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| author | Chen Caisheng Shi Lanfang Wang Hui |
| author_facet | Chen Caisheng Shi Lanfang Wang Hui |
| author_sort | Chen Caisheng |
| collection | DOAJ |
| description | <p>Abstract</p> <p>We study the long-time behavior of solution for the <inline-formula> <graphic file="1687-2770-2009-563767-i4.gif"/></inline-formula>-Laplacian equation <inline-formula> <graphic file="1687-2770-2009-563767-i5.gif"/></inline-formula> in <inline-formula> <graphic file="1687-2770-2009-563767-i6.gif"/></inline-formula>, in which the nonlinear term <inline-formula> <graphic file="1687-2770-2009-563767-i7.gif"/></inline-formula> is a function like <inline-formula> <graphic file="1687-2770-2009-563767-i8.gif"/></inline-formula> with <inline-formula> <graphic file="1687-2770-2009-563767-i9.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2009-563767-i10.gif"/></inline-formula>, or <inline-formula> <graphic file="1687-2770-2009-563767-i11.gif"/></inline-formula> with <inline-formula> <graphic file="1687-2770-2009-563767-i12.gif"/></inline-formula> and <inline-formula> <graphic file="1687-2770-2009-563767-i13.gif"/></inline-formula>. We prove the existence of a global <inline-formula> <graphic file="1687-2770-2009-563767-i14.gif"/></inline-formula>-attractor for any <inline-formula> <graphic file="1687-2770-2009-563767-i15.gif"/></inline-formula>.</p> |
| first_indexed | 2024-04-14T02:25:45Z |
| format | Article |
| id | doaj.art-ad257591ac674b15bc3158dc1db36766 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-04-14T02:25:45Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-ad257591ac674b15bc3158dc1db367662022-12-22T02:17:54ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-0120091563767Existence of Global Attractors in <inline-formula> <graphic file="1687-2770-2009-563767-i1.gif"/></inline-formula> for <inline-formula> <graphic file="1687-2770-2009-563767-i2.gif"/></inline-formula>-Laplacian Parabolic Equation in <inline-formula> <graphic file="1687-2770-2009-563767-i3.gif"/></inline-formula>Chen CaishengShi LanfangWang Hui<p>Abstract</p> <p>We study the long-time behavior of solution for the <inline-formula> <graphic file="1687-2770-2009-563767-i4.gif"/></inline-formula>-Laplacian equation <inline-formula> <graphic file="1687-2770-2009-563767-i5.gif"/></inline-formula> in <inline-formula> <graphic file="1687-2770-2009-563767-i6.gif"/></inline-formula>, in which the nonlinear term <inline-formula> <graphic file="1687-2770-2009-563767-i7.gif"/></inline-formula> is a function like <inline-formula> <graphic file="1687-2770-2009-563767-i8.gif"/></inline-formula> with <inline-formula> <graphic file="1687-2770-2009-563767-i9.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2009-563767-i10.gif"/></inline-formula>, or <inline-formula> <graphic file="1687-2770-2009-563767-i11.gif"/></inline-formula> with <inline-formula> <graphic file="1687-2770-2009-563767-i12.gif"/></inline-formula> and <inline-formula> <graphic file="1687-2770-2009-563767-i13.gif"/></inline-formula>. We prove the existence of a global <inline-formula> <graphic file="1687-2770-2009-563767-i14.gif"/></inline-formula>-attractor for any <inline-formula> <graphic file="1687-2770-2009-563767-i15.gif"/></inline-formula>.</p>http://www.boundaryvalueproblems.com/content/2009/563767 |
| spellingShingle | Chen Caisheng Shi Lanfang Wang Hui Existence of Global Attractors in <inline-formula> <graphic file="1687-2770-2009-563767-i1.gif"/></inline-formula> for <inline-formula> <graphic file="1687-2770-2009-563767-i2.gif"/></inline-formula>-Laplacian Parabolic Equation in <inline-formula> <graphic file="1687-2770-2009-563767-i3.gif"/></inline-formula> Boundary Value Problems |
| title | Existence of Global Attractors in <inline-formula> <graphic file="1687-2770-2009-563767-i1.gif"/></inline-formula> for <inline-formula> <graphic file="1687-2770-2009-563767-i2.gif"/></inline-formula>-Laplacian Parabolic Equation in <inline-formula> <graphic file="1687-2770-2009-563767-i3.gif"/></inline-formula> |
| title_full | Existence of Global Attractors in <inline-formula> <graphic file="1687-2770-2009-563767-i1.gif"/></inline-formula> for <inline-formula> <graphic file="1687-2770-2009-563767-i2.gif"/></inline-formula>-Laplacian Parabolic Equation in <inline-formula> <graphic file="1687-2770-2009-563767-i3.gif"/></inline-formula> |
| title_fullStr | Existence of Global Attractors in <inline-formula> <graphic file="1687-2770-2009-563767-i1.gif"/></inline-formula> for <inline-formula> <graphic file="1687-2770-2009-563767-i2.gif"/></inline-formula>-Laplacian Parabolic Equation in <inline-formula> <graphic file="1687-2770-2009-563767-i3.gif"/></inline-formula> |
| title_full_unstemmed | Existence of Global Attractors in <inline-formula> <graphic file="1687-2770-2009-563767-i1.gif"/></inline-formula> for <inline-formula> <graphic file="1687-2770-2009-563767-i2.gif"/></inline-formula>-Laplacian Parabolic Equation in <inline-formula> <graphic file="1687-2770-2009-563767-i3.gif"/></inline-formula> |
| title_short | Existence of Global Attractors in <inline-formula> <graphic file="1687-2770-2009-563767-i1.gif"/></inline-formula> for <inline-formula> <graphic file="1687-2770-2009-563767-i2.gif"/></inline-formula>-Laplacian Parabolic Equation in <inline-formula> <graphic file="1687-2770-2009-563767-i3.gif"/></inline-formula> |
| title_sort | existence of global attractors in inline formula graphic file 1687 2770 2009 563767 i1 gif inline formula for inline formula graphic file 1687 2770 2009 563767 i2 gif inline formula laplacian parabolic equation in inline formula graphic file 1687 2770 2009 563767 i3 gif inline formula |
| url | http://www.boundaryvalueproblems.com/content/2009/563767 |
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