Some results on a singular parabolic equation in one dimension case | Zendy

Zhou Wenshu | Zendy; Wei Xiaodan | Zendy

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Some results on a singular parabolic equation in one dimension case

Author(s) -

Zhou Wenshu,

Wei Xiaodan

Publication year - 2013

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2778

Subject(s) - uniqueness , mathematics , dimension (graph theory) , constant (computer programming) , novelty , mathematical analysis , parabolic partial differential equation , pure mathematics , partial differential equation , philosophy , theology , computer science , programming language

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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