Includes material for a standard graduate class, advanced material not covered by the
standard course but necessary in order to read research literature in the area, and extensive …

We define distances between geometric curves by the square root of the minimal energy
required to transform one curve into the other. The energy is formally defined from a left …

Houshang H. Sohrab Second Edition Page 1 Basic Real Analysis Houshang H. Sohrab Second
Edition Page 2 Page 3 Page 4 Houshang H. Sohrab Basic Real Analysis Second Edition Page 5 …

Vladimir I. Bogachev Oleg G. Smolyanov Page 1 Moscow Lectures 4 Real and Functional
Analysis Vladimir I. Bogachev Oleg G. Smolyanov Page 2 Moscow Lectures Volume 4 Series …

We study two nonlocal variational problems in this paper. One models microphase
separation of diblock copolymers and the other models solid-solid phase transformations …

We give a general formulation of a number of control problems. This formulation considers a
wide class of systems and any globally bounded state feedback controller that renders a …

Mathematical induction is a powerful proof technique that is generally used to prove
statements involving whole numbers. Students often first encounter this technique in first or …

The elastic compensation method (ECM) based on the conventional linear elastic finite
element method is a simple and effective method for structural limit analysis. However, for …

This paper is devoted to the relationships and properties of the endograph metric and the Γ-
convergence. The main contents can be divided into three closely related parts. Firstly, on …

In 1990, Diamond gave a characterization of compact sets in the space of fuzzy star-shaped
numbers with respect to the origin with Lp metric for 1⩽ p<∞. Later on, Ming modified the …