Observability inequalities for transport equations through Carleman estimates

We consider the transport equation \ppp_t u(x,t) + H(t)\cdot \nabla u(x,t) = 0 in \OOO\times(0,T), where $T>0$ and \OOO\subset \R^d is a bounded domain with smooth boundary \ppp\OOO. First, we prove a Carleman estimate for solutions of finite energy with piecewise continuous weight functions. Then, under a further condition which guarantees that the orbits of $H$ intersect \ppp\OOO, we prove an energy estimate which in turn yields an observability inequality. Our results are motivated by applications to inverse problems.Comment: 18 pages, 3 figure

One-Electron State of a Partially Ionized High-Z Ion

An effective potential of an isolated partially ionized high-Z ion, calculated within the framework of the statistical models of atoms, is injected into the one-electron Schrödinger equation, in view of evaluating the electron density and comparing it with the results of statistical models. Starting from this initial value, a self-consistent electron density is obtained on the basis of the density functional theory, where quantum natures of electrons are fully taken into account

Masahiro Sugano Interview

@font-face { font-family: Arial ; }@font-face { font-family: Cambria ; }p.MsoNormal, li.MsoNormal, div.MsoNormal { margin: 0in 0in 10pt; font-size: 12pt; font-family: Times New Roman ; }div.Section1 { page: Section1; } Artist Bio Born in 1972, Osaka, Japan. Moved to the U.S. at age 18. B.A. in philosophy from CalState, Northridge. M.F.A. in Film/Video/Animation from University of Illinois at Chicago. Currently runs a production company based in Chicago, Eye from the Sky, Inc. Sundance Film Festival alumnus (1999). His next project is titled “Transcendental Joe” and it is billed as “Neo-Fundamental Buddhist Journey” across the U.S

Nef vector bundles on a projective space with first Chern class 3 and second Chern class 8

We describe nef vector bundles on a projective space with first Chern class three and second Chern class eight over an algebraically closed field of characteristic zero by giving them a minimal resolution in terms of a full strong exceptional collection of line bundles.Comment: 10 pages. v.2: Corrected typos and an error in the proof. To appear in Le Matematich

Ressenyes

Index de les obres ressenyades: Masahiro MORI, The Buddha in the Robot. A Robot Engineer's Thoughts on Science and Religio

On the frontness opposition in loanwords in Old Uygur

庄垣内正弘教授還暦記念 チュルク学特集号 / Papers in Honour of Professor Masahiro SHOGAITO on his 60th Birthda