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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.

Xue , Yingzhen. (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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