Advances In Deterministic And Stochastic Analysis

by Peter Lax, David Mumford, Philippe G Ciarlet, Duong H Phong, Nguyen Minh Chuong

Overview

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.

Product Details

ISBN-13:	9789812705501
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	04/25/2007
Pages:	372
Product dimensions:	6.20(w) x 9.00(h) x 1.00(d)

Table of Contents

Preface     V
Integral and Pseudodifferential Operators
Pseudodifferential Operators of Second Order with Sign-Changed Characteristic Form   Nguyen Minh Tri     3
A Semilinear Nonclassical Pseudodifferential Boundary Value Problem in Sobolev Spaces H[subscript l,p], 1 < p < [infinity]   Nguyen Minh Chuong   Dang Anh Tuan     15
Singular Integral Operators in Functional Spaces of Morrey Type   Lubomira Softova     33
Classification of Integral Transforms   Vu Kim Tuan     43
Partial Differential Equations
Unified Minimax Methods   Martin Schechter     75
Some Remarks on Single Conservation Laws   Mikio Tsuji   Peter Wagner     91
Iterative Method for Solving a Mixed Boundary Value Problem for Biharmonic Type Equation   Dang Quang A   Le Tung Son     103
Numerical Solution to a Non-Linear Parabolic Boundary Control Problem   Dinh Nho Hao   Nguyen Trung Thanh   H. Sahli     115
A Class of Solutions to Maxwell's Equations in Matter and Associated Special Functions   Peter Massopust     131
On the Cauchy Problem for a Quasilinear Weakly Hyperbolic System in Two Variables and Applications to that for Weakly Hyperbolic Classical Monge-Ampere Equations   Ha Tien Ngoan   NguyenThi Nga     177
Some Singular Perturbation Problems Related to the Navier-Stokes Equations   Makram Hamouda   Roger Temam     197
Geometric Analysis
Monotone Invariants and Embeddings of Statistical Manifolds   Le Hong Van     231
Graded Cech Cohomology in Noncommutative Geometry   Do Ngoc Diep     255
Sobolev Spaces with Weight on Riemannian Manifolds   Nguyen Minh Chuong   Le Duc Thinh     269
Stochastic and Infinite-Dimentional Analysis
Stochastic Population Control and RSDE with Jumps   Situ Rong     281
Noncausal Stochastic Calculus Revisited - Around the So-called Ogawa Integral   Shigeyoshi Ogawa     297
Infinite-Dimensional Stochastic Analysis and Foundations of Quantum Mechanics   Andrei Khrennikov     321
Noncommutative Trigonometry and Quantum Mechanics   Karl Gustafson     341