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Volume 7, Issue 1
Existence and Uniqueness of Solutions of a Class of Singular Parabolic Equations

Lee Jiunjie

J. Part. Diff. Eq.,7(1994),pp.1-18

Published online: 1994-07

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  • Abstract
We will establish an existence and regularity theory for weak solutions of a class of singular parabolic equations associated with Dirichlet data, whose prototype is u_t - div(|∇u|^{p-2}∇u) = 0 (1 < p < 2)
  • Keywords

Existence regularity singular weak solutions parabolic equations

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@Article{JPDE-7-1, author = {Lee Jiunjie}, title = {Existence and Uniqueness of Solutions of a Class of Singular Parabolic Equations}, journal = {Journal of Partial Differential Equations}, year = {1994}, volume = {7}, number = {1}, pages = {1--18}, abstract = { We will establish an existence and regularity theory for weak solutions of a class of singular parabolic equations associated with Dirichlet data, whose prototype is u_t - div(|∇u|^{p-2}∇u) = 0 (1 < p < 2)}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5669.html} }
TY - JOUR T1 - Existence and Uniqueness of Solutions of a Class of Singular Parabolic Equations AU - Lee Jiunjie JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 18 PY - 1994 DA - 1994/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5669.html KW - Existence KW - regularity KW - singular KW - weak solutions KW - parabolic equations AB - We will establish an existence and regularity theory for weak solutions of a class of singular parabolic equations associated with Dirichlet data, whose prototype is u_t - div(|∇u|^{p-2}∇u) = 0 (1 < p < 2)
Lee Jiunjie. (1970). Existence and Uniqueness of Solutions of a Class of Singular Parabolic Equations. Journal of Partial Differential Equations. 7 (1). 1-18. doi:
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