Existence and some properties of weak solutions for a singular nonlinear parabolic equation | Zendy

Qiang Liu | Zendy; Zheng'an Yao | Zendy; Wenshu Zhou | Zendy

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Existence and some properties of weak solutions for a singular nonlinear parabolic equation

Author(s) -

Qiang Liu,

Zheng'an Yao,

Wenshu Zhou

Publication year - 2007

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.851

Subject(s) - mathematics , parabolic partial differential equation , nonlinear system , mathematical analysis , regularization (linguistics) , singular solution , boundary value problem , parabolic cylinder function , initial value problem , partial differential equation , physics , quantum mechanics , artificial intelligence , computer science

This paper deals with the initial and boundary value problem for a singular nonlinear parabolic equation. The existence of solutions is established by parabolic regularization. Some properties of solutions, for instance localization and large time behaviour are also discussed. Copyright © 2007 John Wiley & Sons, Ltd.

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