edited by N M Chuong (Vietnamese Academy of Science & Technology, Vietnam), P G Ciarlet (City University of Hong Kong, Hong Kong), P Lax (Courant Institute, USA), D Mumford (Brown University, USA), & D H Phong (Columbia University, USA)

Table of Contents (68k)
Preface (117k)
Chapter 1: Integral and Pseudodifferential Operators (2,618k)

This volume collects articles in pure and applied analysis, partial differential equations, geometric analysis and stochastic and infinite-dimensional analysis. In particular, the contributors discuss integral and pseudo-differential operators, which play an important role in partial differential equations. Other methods of solving the partial differential equations are considered, such as the min-max approach to variational problems and boundary value problems. The foundations of quantum mechanics from the viewpoints of infinite-dimensional spaces and Bell's inequality and contraction are also mentioned.

• Integral and Pseudodifferential Operators:
  • Singular Integral Operators in Functional Spaces of Morrey Type (L Softova)
• Partial Differential Equations:
  • Unified Minimax Methods (M Schechter)
  • Some Remarks on Single Conservation Laws (M Tsuji & P Wagner)
  • A Class of Solutions to Maxwell's Equations in Matter and Associated Special Functions (P Massopust)
• Geometric Analysis:
  • Monotone Invariants and Embeddings of Statistical Manifolds (L H Van)
  • Sobolev Spaces with Weight on Riemannian Manifolds (N M Chuong & L D Thinh)
• Stochastic and Infinite-Dimensional Analysis:
  • Stochastic Population Control and RSDE with Jumps (S Rong)
  • Infinite-Dimensional Stochastic Analysis and Foundations of Quantum Mechanics (A Khrennikov)
  • Noncommutative Trigonometry and Quantum Mechanics (K Gustafson)
  • and other papers