Critical exponent for a damped wave system with fractional integral
We shall present the critical exponent $$ F(p, q,\alpha):=\max\big\{\alpha+\frac{(\alpha+1)(p+1)}{pq-1}, \alpha+\frac{(\alpha+1)(q+1)}{pq-1}\big\}-\frac{1}{2} $$ for the Cauchy problem $$\displaylines{ u_{tt}-u_{xx}+u_t=J_{0|t}^{\alpha}(|v|^{p}), \quad (t,x)\in\mathbb{R}^{+}\times\mathbb{R}...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/211/abstr.html |