Lower Bound Estimate of Blow Up Time for the Porous Medium Equations under Dirichlet and Neumann Boundary Conditions

Lower Bound Estimate of Blow Up Time for the Porous Medium Equations under Dirichlet and Neumann Boundary Conditions

Year:    2021

Author:    Yingzhen Xue

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v34.n1.7

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 94–102

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

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

Author Details

Yingzhen Xue