Article
Licensed
Unlicensed
Requires Authentication
Global in time results for a class of inverse problems
-
F. Colombo
Published/Copyright:
April 16, 2009
Abstract
We show a strategy recently developed to prove global in time existence and uniqueness results for integrodifferential inverse problems. The models we discuss in this paper are:
which are: the strongly damped wave equation with memory, the heat equation with memory and a model in the theory of combustion with memory, respectively. Here f is a given nonlinear function and Ω is a bounded domain in ℝ3. We determine u and the convolution memory kernel h under suitable initial–boundary conditions and assuming to know an additional restriction on the state variable u, for example of type
where φ and g are given functions representing the type of device used to measure u.
Key words.: Heat equation with memory; combustion model with memory; strongly damped wave equation with memory; identification problem; global in time existence and uniqueness result
Received: 2008-01-23
Revised: 2008-04-21
Published Online: 2009-04-16
Published in Print: 2009-April
© de Gruyter 2009
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Some approaches to a numerical solution for the multidimensional inverse kinematic problem of seismics with inner sources
- Iterative methods for solving a nonlinear boundary inverse problem in glaciology
- Global in time results for a class of inverse problems
- On stability of an inverse spectral problem for a nonsymmetric differential operator
Articles in the same Issue
- Some approaches to a numerical solution for the multidimensional inverse kinematic problem of seismics with inner sources
- Iterative methods for solving a nonlinear boundary inverse problem in glaciology
- Global in time results for a class of inverse problems
- On stability of an inverse spectral problem for a nonsymmetric differential operator
