A. G. Ramm

activity

20012023

most citedAn inverse problem for a heat equation with piecewise-constant thermal conductivity

8 citations · 12 across the 15 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

math.NA2010★ 2 cited

Justification of the Dynamical Systems Method (DSM) for global homeomorphisms

A. G. Ramm

The Dynamical Systems Method (DSM) is justified for solving operator equations $F (u) = f$ , where $F$ is a nonlinear operator in a Hilbert space $H$ . It is assumed that $F$ is a globa…

math.DS2010★ 1 cited

Dynamical Systems Method (DSM) for solving nonlinear operator equations in Banach spaces

A. G. Ramm

Let $F (u) = h$ be an operator equation in a Banach space $X$ , $∥ F^{'} (u) - F^{'} (v) ∥ \leq ω (∥ u - v ∥)$ , where $ω \in C ([0, \infty))$ , $ω (0) = 0$ , $ω (r) > 0$ if $r > 0$ , $ω (r)$ is strictly growing on…

math.CV2010

A uniqueness theorem for entire functions

A. G. Ramm

Let $G (k) = \int_{0}^{1} g (x) e^{k x} d x$ , $g \in L^{1} (0, 1)$ . The main result of this paper is the following theorem. {\bf Theorem}. {\it If $lim sup_{k \to + \infty} ∣ G (k) ∣ < \infty$ , then $g = 0$ .…