Inverse Problems for Memory Kernels by Laplace Transform Methods
Inverse Problems for Memory Kernels by Laplace Transform Methods
复制标题
拉普拉斯变换方法的内存内核反演问题
DOI：
10.4171/zaa/963
复制
发表时间：
2000
影响因子：
1.2
通讯作者：
L. Wolfersdorf
中科院分区：
文献类型：
--
作者：
J. Janno;L. Wolfersdorf
用拉普拉斯变换方法耦合傅里叶方法处理了无限时间区间（0,∞）线性热传导和粘弹性中记忆核辨识的基本反问题。在适当的假设条件下，证明了存储核的存在唯一性。
Basic inverse problems for identification of memory kernels in linear heat conduction and viscoelasticity in the infinite time interval (0,∞) are treated by Laplace transform method in coupling with Fourier’s method for the direct initial-boundary value problem of the corresponding integro-differential equation. Under suitable assumptions on the data existence and uniqueness of the memory kernel are shown.