Carleman estimates for integro-differential parabolic equations with singular memory kernels
Carleman estimates for integro-differential parabolic equations with singular memory kernels
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DOI：
10.1007/s41808-017-0004-z
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发表时间：
2017-11
影响因子：
0.8
通讯作者：
P. Loreti;D. Sforza;M. Yamamoto
中科院分区：
文献类型：
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作者：
P. Loreti;D. Sforza;M. Yamamoto
On the basis of the Carleman estimate for the parabolic equation, we prove a Carleman estimate for the integro-differential operatorwhere the integral kernel has a behaviour like a weakly singular one. In the proof we consider the integral term as a perturbation. The crucial point is a special choice of the time factor of the weight function.
