Maximal estimates for fractional Schr\"odinger equations with spatial variable coefficient
Let $v(r,t)=\mathcal{T}_tv_0(r)$ be the solution to a fractional Schrodinger equation where the coefficient of Laplacian depends on the spatial variable. We prove some weighted $L^q$ estimates for the maximal operator generated by $\mathcal{T}_t$ with initial data in a Sobolev-type space.
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| Format: | Article |
| Language: | English |
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Texas State University
2018-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/139/abstr.html |