Critical exponent for the asymptotic behavior of rescaled solutions to the porous medium equation
In this article, we find that $\mu_c\equiv 2N/(N(m-1)+2)$ is the critical exponent for the asymptotic behavior of rescaled solutions $t^{\mu/2}u(t^\beta x,t)$ for the porous medium equation.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/10/abstr.html |