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Large time behavior of solutions to a class of doubly nonlinear parabolic equations

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Abstract

We study the large time asymptotic behavior of solutions of the doubly degenerate parabolic equation u t = div(u m−1|Du|p−2 Du) − u q with an initial condition u(x, 0) = u 0(x). Here the exponents m, p and q satisfy m + p ⩾ 3, p > 1 and q > m + p − 2.

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Authors and Affiliations

  1. School of Sciences, Jimei University, Xiamen, 361021, P. R. China

    Huashui Zhan

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  1. Huashui Zhan
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Correspondence to Huashui Zhan.

Additional information

The paper was supported by NSF of China (10571144), NSF for youth of Fujian province in China (2005J037) and NSF of Jimei University in China.

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Zhan, H. Large time behavior of solutions to a class of doubly nonlinear parabolic equations. Appl Math 53, 521–533 (2008). https://doi.org/10.1007/s10492-008-0039-4

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  • DOI: https://doi.org/10.1007/s10492-008-0039-4

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