PREFACE

The Conference on Partial Differential Equations and Applications, Sofia, September 14–16, 2011 (In honor of 65-th Anniversary of Professor Petar Popivanov) took place in the premises of the Institute of Mathematics and Informatics (IMI) of the Bulgarian Academy of Sciences (BAS). The conference was organized by the Section “Differential Equations and Mathematical Physics” of IMI with the participation of research groups on PDE from Universit`a di Cagliari and Universit`a di Torino (Italy), with the organizing committee – N. Kutev (IMI–BAS) – chair, G. Boyadzhiev (IMI–BAS) – secretary, T. Gramchev (Univ. Cagliari) and A. Oliaro (Univ. Torino) – members, and thefollowing program/scientific committee: T. Gramchev (chair), N. Kutev (IMI–BAS), L. Rodino (Universit`a di Torino), M. Ruzhansky (Imperial College London), A. Slavova (IMI–BAS), C. Van Der Mee (Universit`a di Cagliari).

Curriculum Vitae of Petar R. Popivanov

Petar Radoev Popivanov was born on April 6, 1946 in Sofia. Traces of this branch of Popivanov’s are found in the late 1700’s in Lyaskovets, a small town near Veliko Tarnovo, the old capital of the second Bulgarian kingdom. In the family tree one finds in the last 200 years or so lawyers, men of learning, men of politics, military officers, physicians, priests. In particular, his father Radoy Popivanov (1913-2010) was a well known Bulgarian scientist in Biology and Immunogenetics and a Full Member of the Bulgarian Academy of Sciences (BAS).

Operators with Polynomial Coefficients and Generalized Gelfand-Shilov Classes

2010 Mathematics Subject Classification: Primary 35S05, 35J60; Secondary 35A20, 35B08, 35B40.

N–Dimensional Orthogonal Tile Sizing Problem

AMS subject classification: 68Q22, 90C90

PC Points and their Application to Vector Optimization

AMS subject classification: 90C29, 90C48

The Graves Theorem Revisited II: Robust Convergence of the Newton Method

AMS subject classification: 65J15, 47H04, 90C30.

Second Order Optimality Conditions in Nonsmooth Unconstrained Optimization

AMS subject classification: 49J52, 90C30.

Maximization of a Linear Utility Function over the Set of the Housing Market Short-Term Equilibria

AMS subject classification: 90C05, 90A14.

A Fast Algorithm for Weber Problem on a Grid

AMS subject classification: 90B80.

Well-Posedness, Conditioning and Regularization of Minimization, Inclusion and Fixed-Point Problems

AMS subject classification: 65K10, 49M07, 90C25, 90C48.

Optimization of Advertising Resources over Time: A Strategic Analysis

AMS subject classification: 90B60, 90B50, 90A80.

Viability Kernels of Higher Order

AMS subject classification: Primary 34A60, Secondary 49K24.

Time-Dependent Differential Inclusions and Viability

AMS subject classification: Primary 34A60, Secondary 49J52.

On the Algebraic Properties of Convex Bodies

AMS subject classification: 52A01, 13C99.

Financial Decisions via Methods of Guaranteed Control Theory

AMS subject classification: 93C95, 90A09.