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Schrödinger Dispersive Dstimates For A Dcaling-Critical Class Of Potentials, Marius Beceanu, Michael Goldberg

Mathematics and Statistics Faculty Scholarship

Consider the focussing cubic nonlinear Schr\"odinger equation in R 3 :

iψ t +Δψ=−|ψ| 2 ψ.

It admits special solutions of the form e itα ϕ , whereϕ is a Schwartz function and a positive (ϕ>0 ) solution of

−Δϕ+αϕ=ϕ 3 .

The space of all such solutions, together with those obtained from them by rescaling and applying phase and Galilean coordinate changes, called standing waves, is the eight-dimensional manifold that consists of functions of the form e i(v⋅+Γ) ϕ(⋅−y,α) . We prove that any solution starting sufficiently close to a standing wave in the Σ=W 1,2 (R 3 …

Understanding College Students' Disconnections With Mathematics, Karen Jean Edwards

Legacy Theses & Dissertations (2009 - 2024)

This study explores the disconnections introductory college mathematics students experience with mathematics. The experiences of six former mathematics students from their earliest memories forward to present day were explored. The study employed an interpretive case study and an action research methodology to present a detailed, historical record of the students' interactions and disconnections with learning quantitative material.

Time To Learn Mathematics In Public And Private Schools : Understanding Differences In Aspects Of The Implemented Curriculim In The Dominican Republic, Renzo Roncagliolo Jones

Legacy Theses & Dissertations (2009 - 2024)

How do educational opportunities influence students' academic achievement in the Dominican Republic? How do students grow, in knowledge and skills, as a result of their passage through the elementary grades? This study aims to explore and understand the differences between the implemented curriculum in public and private schools in 4th, 5th, and 6th grades, specifically with respect to the instructional time allocated by teachers in Mathematics Activities and Mathematics Contents.