Support properties of solutions to a degenerate equation with absorption and variable density |
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| Authors: | Zhaoyin Xiang Chunlai Mu Xuegang Hu |
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| Institution: | 1. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, PR China;2. Department of Mathematics, Chongqing University, Chongqing 400044, PR China;3. Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, PR China |
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| Abstract: | In this paper, we study the properties of solutions to a degenerate parabolic equation with variable density and absorption. We first obtain a critical exponent, which distinguishes the localization of solutions from the positivity of them. When positivity prevails, we obtain the other critical exponent with respect to the decay of the variable density, which separates the global existence of interfaces from the disappearance of them. Moreover, the long time behavior of interfaces is characterized. |
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| Keywords: | 35K15 35K60 35B40 |
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