Chuong N.M. et al. (Eds.). Advances in Deterministic and Stochastic Analysis

World Scientific, 2007. – 372 p. – ISBN: 9812705503, 9789812705501.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.
Pseudodifferential Operators of Second Order with Sign-Changed Characteristic Form – Nguyen Minh Tri.
A Semilinear Nonclassical Pseudodifferential Boundary Value Problem in Sobolev Spaces – Nguyen Minh Chuong and Dang Anh Tuan.
Singular Integral Operators in Functional Spaces of Morrey Type – Lubomira Softova.
Classification of Integral Transforms – Vu Kim Tuan.
Partial Differential Equations.
Unified Minimax Methods – Martin Schechter.
Some Remarks on Single Conservation Laws – Mikio Tsuji and Peter Wagner.
Iterative Method for Solving a Mixed Boundary Value Problem for Biharmonic Type Equation – Dung Quang A and Le Tung Son.
Numerical Solution to a Non-Linear Parabolic Boundary Control Problem – Dinh Nho Hao, Nguyen Trung Thanh and H. Sahli.
A Class of Solutions to Maxwell’s Equations in Matter and Associated Special Functions – Peter Massopust.
On the Cauchy Problem for a Quasilinear Weakly Hyperbolic System in Two Variables and Applications to that for Weakly Hyperbolic Classical Monge- Ampkre Equations – Ha Tien Ngoan and Nguyen Thi Nga.
Some Singular Perturbation Problems Related to the Navier- Stokes Equations – Makram Hamouda and Roger Temam.
Geometric Analysis.
Monotone Invariants and Embeddings of Statistical Manifolds – Le Hong Van.
Graded Cech Cohomology in Noncommutative Geometry – Do Ngoc Diep.
Sobolev Spaces with Weight on Riemannian Manifolds – Nguyen Manh Chuong and Le DUC Thinh.
Stochastic and Infinite-Dimentional Analysis.
Stochastic Population Control and RSDE with Jumps – Situ Rong.
Noncausal Stochastic Calculus Revisited - Around the So-called Ogawa Integral – Shigeyoshi Ogawa.
Infinite-Dimensional Stochastic Analysis and Foundations of Quantum Mechanics – Andrei Khrennikov.
Noncommutative Trigonometry and Quantum Mechanics – Karl Gustafson.