Some results on a singular parabolic equation in one dimension case |
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| Authors: | Wenshu Zhou Xiaodan Wei |
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| Institution: | Department of Mathematics, Dalian Nationalities University, , Dalian 116600, China |
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| Abstract: | This paper is concerned with the existence, nonexistence, uniqueness, and non‐uniqueness of solutions for a singular parabolic equation in one dimension case. For different cases of some constant m of the equation, we study the uniqueness of solutions for m > ? 1, the nonexistence of solutions for m ≤ ? p, and the existence and non‐uniqueness of solutions for ? p < m ≤ ? 1. The novelty of this paper lies in the study of nonexistence. Moreover, the other results of this paper extend some recent works. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | singular parabolic equation existence nonexistence uniqueness non‐uniqueness |
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