The problem of determining an unknown source term in a linear parabolic equation (x, t) β β¦ T , from the Dirichlet type measured output data h(t) := u(0, t) is studied. A formula for the FrΓ©chet gradient of the cost functional J(F ) = βu(0, t; F )-h(t)β 2 is derived via the solution of the correspon
β¦ LIBER β¦
An inverse source problem for Helmholtz's equation from the Cauchy data with a single wave number
β Scribed by Badia, Abdellatif El; Nara, Takaaki
- Book ID
- 120472948
- Publisher
- Institute of Physics
- Year
- 2011
- Tongue
- English
- Weight
- 524 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0266-5611
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An inverse source problem with single Di
β
Alemdar Hasanov
π
Article
π
2011
π
Elsevier Science
π
English
β 226 KB
On Uniqueness of an Inverse Problem for
β
Jijun, Liu; Yuanming, Wang
π
Article
π
1997
π
Society for Industrial and Applied Mathematics
π
English
β 280 KB
On an inverse problem for a parabolic eq
β
S. G. Pyatkov, A. G. Borichevskaya
π
Article
π
2013
π
SP MAIK Nauka/Interperiodica
π
English
β 221 KB
Stable and unstable sets for the Cauchy
β
Grozdena Todorova
π
Article
π
1999
π
Elsevier Science
π
English
β 396 KB
For the Cauchy problem for the nonlinear wave equation with nonlinear damping and source terms we define stable and unstable sets for the initial data. We prove that, if during the evolution the solution enters into the stable set, the solution is global and we are able to estimate the decay rate of
Stable and Unstable Sets for the Cauchy
β
Grozdena Todorova
π
Article
π
1999
π
Elsevier Science
π
English
β 97 KB
An inverse problem of determining a sour
β
V. A. Sharafutdinov
π
Article
π
1994
π
SP MAIK Nauka/Interperiodica
π
English
β 483 KB