Advances in Deterministic and Stochastic Analysis

Lax, Peter (EDT)/ Mumford, David (EDT)/ Ciarlet, Philippe G (EDT)

World Scientific Publishing Co Pte Ltd（2007/04発売）

• 製本 Hardcover:ハードカバー版／ページ数 372 p.
• 言語 ENG
• 商品コード 9789812705501
• DDC分類 519.23

Full Description

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 Pseudo-Differential Operators: Singular Integral Operators in Functional Spaces of Morrey Type (L Softova); Partial Differential Equations: New Variational 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); Non-Commutative Trigonometry and Quantum Mechanics (K Gustafson); and other papers.