Article
Licensed
Unlicensed
Requires Authentication
Representation formulae for solutions to direct and inverse degenerate in time first-order Cauchy problems in Banach spaces
-
A. Lorenzi
Published/Copyright:
July 6, 2009
Abstract
We are concerned with a degenerate in time first-order identification problem related to a closed operator in a Banach space. The degeneracy with respect to time — due to scalar time coefficients — is assumed to be integrable. For both direct and inverse problem we exhibit explicit representations of the solutions in terms of the linear operator A and function ƒ (cf. equation (1.1)), when the latter possess specific properties.
Some applications to partial differential equations are given.
Key words.: Degenerate in time differential equations in Banach spaces; Representation formulae for direct and inverse problems; Application to parabolic PDE's
Received: 2008-08-28
Published Online: 2009-07-06
Published in Print: 2009-July
© 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
- Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient
- On inverse scattering at high energies for the multidimensional nonrelativistic Newton equation in electromagnetic field
- Representation formulae for solutions to direct and inverse degenerate in time first-order Cauchy problems in Banach spaces
- Recover implied volatility of underlying asset from European option price
- Modeling and optimization of a propeller by means of inverse problems
Articles in the same Issue
- Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient
- On inverse scattering at high energies for the multidimensional nonrelativistic Newton equation in electromagnetic field
- Representation formulae for solutions to direct and inverse degenerate in time first-order Cauchy problems in Banach spaces
- Recover implied volatility of underlying asset from European option price
- Modeling and optimization of a propeller by means of inverse problems
