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Volume 17, Issue 1
Existence and Non-existence of Global Solutions of a Degenerate Parabolic System with Nonlinear Boundary Conditions

Fuqin Sun & Mingxin Wang

J. Part. Diff. Eq., 17 (2004), pp. 71-79.

Published online: 2004-02

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  • Abstract
In this paper, we study the non-negative solutions to a degenerate parabolic system with nonlinear boundary conditions in the multi-dimensional case. By the upper and lower solutions method, we give the conditions on the existence and non-existence of global solutions.
  • Keywords

Degenerate parabolic system global solution blow-up in finite time

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@Article{JPDE-17-71, author = {Fuqin Sun and Mingxin Wang }, title = {Existence and Non-existence of Global Solutions of a Degenerate Parabolic System with Nonlinear Boundary Conditions}, journal = {Journal of Partial Differential Equations}, year = {2004}, volume = {17}, number = {1}, pages = {71--79}, abstract = { In this paper, we study the non-negative solutions to a degenerate parabolic system with nonlinear boundary conditions in the multi-dimensional case. By the upper and lower solutions method, we give the conditions on the existence and non-existence of global solutions.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5377.html} }
TY - JOUR T1 - Existence and Non-existence of Global Solutions of a Degenerate Parabolic System with Nonlinear Boundary Conditions AU - Fuqin Sun & Mingxin Wang JO - Journal of Partial Differential Equations VL - 1 SP - 71 EP - 79 PY - 2004 DA - 2004/02 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5377.html KW - Degenerate parabolic system KW - global solution KW - blow-up in finite time AB - In this paper, we study the non-negative solutions to a degenerate parabolic system with nonlinear boundary conditions in the multi-dimensional case. By the upper and lower solutions method, we give the conditions on the existence and non-existence of global solutions.
Fuqin Sun and Mingxin Wang . (2004). Existence and Non-existence of Global Solutions of a Degenerate Parabolic System with Nonlinear Boundary Conditions. Journal of Partial Differential Equations. 17 (1). 71-79. doi:
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