31 citations · 40 across the 7 of their papers we have counts for
8 papers
Well-posedness for time-fractional evolution equations by the Yosida approximation
S. E. Chorfi, F. Gölgeleyen, M. Yamamoto
We consider an initial value problem for a time-fractional evolution equation in a Hilbert space : $$ \partial_t^α (u(t)-a) = Au(t) \qquad \mbox{for $0<t<T$}, $$ where $\partial…
Operator approach for time-fractional evolution equations in Banach spaces
Giuseppe Floridia, Fikret Golgeleyen, Masahiro Yamamoto
Our first main purpose is to establish a framework for initial value problems for time-fractional evolution equation of order in Banach space : $$ \pppa (u(t)-a) =…
Uniqueness of solutions to an elliptic inequality with rapid decay at infinity
F. Golgeleyen, O. Y. Imanuvilov, M. Yamamoto
We consider an elliptic differential inequality: $\vert Δu(x) \vert \le C_0(\YYYY^{-γ}\vert u(x)\vert + \YYYY^{-θ}\vert \nabla u(x)\vert)$ in an exterior domain $\R^n \setminus \oo…
Initial boundary value problems for time-fractional evolution equations in Banach spaces
Giuseppe Floridia, Fikret Golgeleyen, Masahiro Yamamoto
We consider an initial value problem for time-fractional evolution equation in Banach space : $$ \pppa (u(t)-a) = Au(t) + F(t), \quad 0<t<T. \eqno{(*)} $$ Here $u: (0,T) \rrrr X…
Uniqueness of solution of an inverse source problem for ultrahyperbolic equations
Fikret Gölgeleyen, Masahiro Yamamoto
The aim of this article is to investigate the uniqueness of solution of an inverse problem for ultrahyperbolic equations. We first reduce the inverse problem to a Cauchy problem fo…
Inverse coefficient problems for a transport equation by local Carleman estimate
Piermarco Cannarsa, Giuseppe Floridia, Fikret Gölgeleyen +1
We consider the transport equation $\ppp_tu(x,t) + (H(x)\cdot \nabla u(x,t)) + p(x)u(x,t) = 0$ in $\OOO \times (0,T)$ where $\OOO \subset \R^n$ is a bounded domain, and discuss two…
Inverse Problems for Ultrahyperbolic Schrödinger Equations
Fikret Gölgeleyen, Özlem Kaytmaz
In this paper, we establish a global Carleman estimate for an Ultrahyperbolic Schrödinger equation. Moreover, we prove Hölder stability for the inverse problem of determining a coe…
Uniqueness in an Integral Geometry Problem and an Inverse Problem for the Kinetic Equation
Arif Amirov, Fikret Gölgeleyen, Masahiro Yamamoto
In this paper, we discuss the uniqueness in an integral geometry problem in a strongly convex domain. Our problem is related to the problem of finding a Riemannian metric by the di…