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ADVANCES IN DETERMINISTIC AND STOCHASTIC ANALYSIS
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.
Contents:
- 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
Readership: Researchers in analysis and differential equations, mathematical
physics, and probability and statistics.
| 372pp |
Pub. date: Apr 2007 |
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