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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  
    ISBN:   978-981-270-550-1
    981-270-550-3
       US$135 / £78

     


    372pp    Pub. date: Apr 2007  
    ISBN:   978-981-277-049-3(ebook)
    981-277-049-6(ebook)
       US$176 / £104

     


     

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