Inverse Problems for Memory Kernels by Laplace Transform Methods
Copyright policy )Inverse Problems for Memory Kernels by Laplace Transform Methods
Basic inverse problems for identification of memory kernels in linear heat conduction and viscoelasticity in the infinite time interval (0;1) 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.
- TU Bergakademie Freiberg Germany
- Tallinn University of Technology Estonia
Inverse problems for PDEs, Integro-partial differential equations, linear parabolic and hyperbolic integro-differential equation, Laplace transform, global existence results, Linear constitutive equations for materials with memory, heat conduction, one-dimensional identification problems, viscoelasticity, determination of kernels depending on time
Inverse problems for PDEs, Integro-partial differential equations, linear parabolic and hyperbolic integro-differential equation, Laplace transform, global existence results, Linear constitutive equations for materials with memory, heat conduction, one-dimensional identification problems, viscoelasticity, determination of kernels depending on time
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