𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An inverse problem for a parabolic integrodifferential model in the theory of combustion

✍ Scribed by Fabrizio Colombo

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
301 KB
Volume
236
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we investigate an abstract inverse problem that can be applied to the evolution equation

given suitable initial-boundary conditions. Here F is a given function and in the case ,x) the evolution equation has applications in the theory of combustion.

Since we identify the convolution memory kernel k and the temperature u we associate an additional measurement on the temperature of type

where Ο• and g are given functions.

The novelty with respect to the existing literature is the presence of the term Ω u t (t, x)dx in the evolution equation that is motivated by a model in the theory of combustion. We prove a local in time existence theorem and a global in time uniqueness result.

πŸ“œ SIMILAR VOLUMES

An inverse contact problem in the theory
An inverse contact problem in the theory of elasticity
✍ Jin Cheng; Dinghua Xu; Masahiro Yamamoto πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 138 KB πŸ‘ 2 views

In this paper, we discuss an inverse problem in elasticity for determining a contact domain and stress on this domain. We show that this problem is an ill-posed problem, and we establish the uniqueness and ΒΈ-conditional stability estimation for the stress.

An inverse problem of identifying the co
An inverse problem of identifying the coefficient of first-order in a degenerate parabolic equation
✍ Zui-Cha Deng; Liu Yang πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 388 KB

This work studies an inverse problem of determining the first-order coefficient of degenerate parabolic equations using the measurement data specified at a fixed internal point. Being different from other ordinary parameter identification problems in parabolic equations, in our mathematical model th

An inverse coefficient problem for a par
An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
✍ Mansur I. Ismailov; Fatma Kanca πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 174 KB πŸ‘ 1 views

## Communicated by A. Kirsch In this paper, the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary and overdetermination conditions is considered. The existence, uniqueness and continuous dependence upon the