Article
Licensed
Unlicensed
Requires Authentication
Degenerate first-order differential equations via projections
Published/Copyright:
March 19, 2013
Abstract.
In this paper we study an inverse problem for a singular differential equation in a Banach space. We use two projections to reduce the problem to a regular abstract inverse problem. In order to solve the problem, some conditions on the space and the operators are assumed. As a possible application of the abstract theorems, some examples of partial differential equations are given.
Keywords: Identification problems; inverse problems; singular equations; first order equations; Banach space; Hilbert
space
Received: 2012-02-19
Published Online: 2013-03-19
Published in Print: 2013-12-01
© 2013 by Walter de Gruyter Berlin Boston
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Masthead
- On inverse scattering at fixed energy for the multidimensional Newton equation in a non-compactly supported field
- Limited-angle cone-beam computed tomography image reconstruction by total variation minimization and piecewise-constant modification
- A heat source reconstruction formula from single internal measurements using a family of null controls
- On accuracy of solving Symm's equation by a fully discrete projection method
- Degenerate first-order differential equations via projections
- Approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy
- An inverse problem for a third order PDE arising in high-intensity ultrasound: Global uniqueness and stability by one boundary measurement
- Regularization of the continuation problem for elliptic equations
- Inverse problems for the ground penetrating radar
Keywords for this article
Identification problems;
inverse problems;
singular equations;
first order equations;
Banach space;
Hilbert
space
Articles in the same Issue
- Masthead
- On inverse scattering at fixed energy for the multidimensional Newton equation in a non-compactly supported field
- Limited-angle cone-beam computed tomography image reconstruction by total variation minimization and piecewise-constant modification
- A heat source reconstruction formula from single internal measurements using a family of null controls
- On accuracy of solving Symm's equation by a fully discrete projection method
- Degenerate first-order differential equations via projections
- Approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy
- An inverse problem for a third order PDE arising in high-intensity ultrasound: Global uniqueness and stability by one boundary measurement
- Regularization of the continuation problem for elliptic equations
- Inverse problems for the ground penetrating radar
