Critical exponent for the heat equation in alpha-modulation spaces
In this article, we propose a method for finding the critical exponent for heat equations in $\alpha$-modulation space $M_{p,q}^{s,\alpha}$. We define an index $\sigma (s,p,q)$, and use it to determine the critical exponent of the heat equation. Then we use this exponent to describe well and ill...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/338/abstr.html |