Chuong N.M., Ciarlet P.G., Lax P., Mumford D., Phong D.H. Advances In Deterministic And Stochastic Analysis

World Scientific, 2007 - 372 p.
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