6 citations · 6 across the 4 of their papers we have counts for
6 papers
Uniqueness in determining the temporal source factor and the fractional order with an unknown initial value
Ravshan Ashurov, Masahiro Yamamoto
We consider inverse problems for a time-fractional diffusion equation with a second-order elliptic operator and the homogeneous Dirichlet boundary condition in a bounded domain of…
Carleman estimates for backward Cahn-Hilliard-reaction-diffusion problems
Abramo Agosti, Elena Beretta, Cecilia Cavaterra +2
We study a backward inverse problem for a coupled Cahn-Hilliard-reaction-diffusion system. Our main result is a Carleman estimate for a fourth-order/second-order parabolic system w…
Inverse source problems with reduced interior data for a coupled reaction-diffusion system
Xinyue Luo, Masahiro Yamamoto, Jin Cheng
We consider a two-component semilinear reaction-diffusion system in a bounded spatial domain over a time interval , which governs the water density and the vege…
Uniqueness in determining multidimensional domains with unknown initial data
Jone Apraiz, Anna Doubova, Enrique Fernández-Cara +1
This paper addresses several geometric inverse problems for some linear parabolic systems where the initial data (and sometimes also the coefficients of the equations) are unknown.…
Reconstruction of degenerate conductivity region for parabolic equations
Piermarco Cannarsa, Anna Doubova, Masahiro Yamamoto
We consider an inverse problem of reconstructing a degeneracy point in the diffusion coefficient in a one-dimensional parabolic equation by measuring the normal derivative on one s…
Some Inverse Problems for the Burgers Equation and Related Systems
J. Apraiz, A. Doubova, E. Fernández-Cara +1
In this article we deal with one-dimensional inverse problems concerning the Burgers equation and some related nonlinear systems (involving heat effects and/or variable density). I…