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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.