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Volume 34, Issue 1
Lower Bound Estimate of Blow Up Time for the Porous Medium Equations under Dirichlet and Neumann Boundary Conditions

Yingzhen Xue

DOI: 10.4208/jpde.v34.n1.7

J. Part. Diff. Eq., 34 (2021), pp. 94-102.

Published online: 2021-01

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  • Abstract

In this paper, we establish the lower bounds estimate of the blow up time for solutions to the nonlocal cross-coupled porous medium equations with nonlocal source terms under Dirichlet and Neumann boundary conditions. The results are obtained by using some differential inequality technique.

  • Keywords

Lower bounds, Blow up time, Nonlocal source terms, Dirichlet and Neumann boundary conditions.

  • AMS Subject Headings

35K20, 35K55, 35K60, 35K65

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

xueyingzhen@126.com (Yingzhen Xue)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-34-94, author = {Xue , Yingzhen}, title = {Lower Bound Estimate of Blow Up Time for the Porous Medium Equations under Dirichlet and Neumann Boundary Conditions}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {1}, pages = {94--102}, abstract = {

In this paper, we establish the lower bounds estimate of the blow up time for solutions to the nonlocal cross-coupled porous medium equations with nonlocal source terms under Dirichlet and Neumann boundary conditions. The results are obtained by using some differential inequality technique.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n1.7}, url = {http://global-sci.org/intro/article_detail/jpde/18557.html} }
TY - JOUR T1 - Lower Bound Estimate of Blow Up Time for the Porous Medium Equations under Dirichlet and Neumann Boundary Conditions AU - Xue , Yingzhen JO - Journal of Partial Differential Equations VL - 1 SP - 94 EP - 102 PY - 2021 DA - 2021/01 SN - 34 DO - http://doi.org/10.4208/jpde.v34.n1.7 UR - https://global-sci.org/intro/article_detail/jpde/18557.html KW - Lower bounds, Blow up time, Nonlocal source terms, Dirichlet and Neumann boundary conditions. AB -

In this paper, we establish the lower bounds estimate of the blow up time for solutions to the nonlocal cross-coupled porous medium equations with nonlocal source terms under Dirichlet and Neumann boundary conditions. The results are obtained by using some differential inequality technique.

Yingzhen Xue. (2021). Lower Bound Estimate of Blow Up Time for the Porous Medium Equations under Dirichlet and Neumann Boundary Conditions. Journal of Partial Differential Equations. 34 (1). 94-102. doi:10.4208/jpde.v34.n1.7
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