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 |
| Summary: | <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> |
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| ISSN: | 1687-2762 1687-2770 |