Advances In Deterministic And Stochastic Analysis

By: N M Chuong (Editor), P G Ciarlet (Editor), P Lax (Editor), D Mumford (Editor), D H Phong (Editor)

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Hardcover | 25 April 2007

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372 Pages

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23.5 x 15.24 x 2.54

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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.

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Non-Fiction Mathematics Applied Mathematics Stochastics Calculus & Mathematical Analysis Differential Calculus & Equations Science Physics Probability & Statistics Science in General Booktopia Publisher Services World Scientific Publishing

Preface	p. V
Integral and Pseudodifferential Operators
Pseudodifferential Operators of Second Order with Sign-Changed Characteristic Form	p. 3
A Semilinear Nonclassical Pseudodifferential Boundary Value Problem in Sobolev Spaces H[subscript l,p], 1 < p < [infinity]	p. 15
Singular Integral Operators in Functional Spaces of Morrey Type	p. 33
Classification of Integral Transforms	p. 43
Partial Differential Equations
Unified Minimax Methods	p. 75
Some Remarks on Single Conservation Laws	p. 91
Iterative Method for Solving a Mixed Boundary Value Problem for Biharmonic Type Equation	p. 103
Numerical Solution to a Non-Linear Parabolic Boundary Control Problem	p. 115
A Class of Solutions to Maxwell's Equations in Matter and Associated Special Functions	p. 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	p. 177
Some Singular Perturbation Problems Related to the Navier-Stokes Equations	p. 197
Geometric Analysis
Monotone Invariants and Embeddings of Statistical Manifolds	p. 231
Graded Cech Cohomology in Noncommutative Geometry	p. 255
Sobolev Spaces with Weight on Riemannian Manifolds	p. 269
Stochastic and Infinite-Dimentional Analysis
Stochastic Population Control and RSDE with Jumps	p. 281
Noncausal Stochastic Calculus Revisited - Around the So-called Ogawa Integral	p. 297
Infinite-Dimensional Stochastic Analysis and Foundations of Quantum Mechanics	p. 321
Noncommutative Trigonometry and Quantum Mechanics	p. 341
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Advances In Deterministic And Stochastic Analysis

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Hardcover

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