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Volume 27, Issue 4
A Quasilinear Parabolic System with Nonlocal Boundary Conditions and Localized Sources

Yuzhu Han, Yingjie Wei & Wenjie Gao

Commun. Math. Res., 27 (2011), pp. 315-330.

Published online: 2021-05

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  • Abstract

This paper investigates the properties of solutions to a quasilinear parabolic system with nonlocal boundary conditions and localized sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and blow-up rate estimates are also derived.

  • Keywords

global existence, finite time blow-up, localized source, nonlocal boundary, global blow-up, blow-up rate.

  • AMS Subject Headings

35K50, 35K55

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-27-315, author = {Han , YuzhuWei , Yingjie and Gao , Wenjie}, title = {A Quasilinear Parabolic System with Nonlocal Boundary Conditions and Localized Sources}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {4}, pages = {315--330}, abstract = {

This paper investigates the properties of solutions to a quasilinear parabolic system with nonlocal boundary conditions and localized sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and blow-up rate estimates are also derived.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19076.html} }
TY - JOUR T1 - A Quasilinear Parabolic System with Nonlocal Boundary Conditions and Localized Sources AU - Han , Yuzhu AU - Wei , Yingjie AU - Gao , Wenjie JO - Communications in Mathematical Research VL - 4 SP - 315 EP - 330 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19076.html KW - global existence, finite time blow-up, localized source, nonlocal boundary, global blow-up, blow-up rate. AB -

This paper investigates the properties of solutions to a quasilinear parabolic system with nonlocal boundary conditions and localized sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and blow-up rate estimates are also derived.

Han , YuzhuWei , Yingjie and Gao , Wenjie. (2021). A Quasilinear Parabolic System with Nonlocal Boundary Conditions and Localized Sources. Communications in Mathematical Research . 27 (4). 315-330. doi:
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