Books published by Springer Nature Singapore

Blowup of small data solutions for a class of quasilinear wave equations in two dimensions: an outline of the proof.- Concentration effects in critical nonlinear wave equation and scattering theory.- Lower semicontinuity of weighted path length in BV.- Time decay of Lp norms for solutions of the wave equation on exterior domains.- Sobolev embeddings in Weyl-Hörmander calculus.- About the Cauchy problem for a system of conservation laws.- Global existence of the solutions and formation of singularities for a class of hyperbolic systems.- A class of solvable operators.- On the uniqueness of the Cauchy problem under partial analyticity assumptions.- Nonlinear wave diffraction.- Caustics for dissipative semilinear oscillations.- Geometric optics and the bottom of the spectrum.- Hypoellipticity for a class of infinitely degenerate elliptic operators.- Regularity of solutions to characteristic boundary value problem for symmetric systems.

Process Level Large Deviations for a Class of Piecewise Homogeneous Random Walks.- Mutual Singularity of Genealogical Structures of Fleming-Viot and Continuous Branching Processes.- Regular Conditional Expectations and the Continuum Hypothesis.- Necessary and Sufficient Conditions for Weak Convergence of One-Dimensional Markov Processes.- Inverse Subordination of Excessive Functions.- Jumping Branching Measure-Valued Processes.- The Boundedness of Branching Markov Processes.- A Limit Theorem for Weighted Branching Process Trees.- Loop Condensation Effects in the Behavior of Random Walks.- On the Stability of Solutions of Stochastic Evolution Equations.- Harmonic Functions on Riemannian Manifolds: A Probabilistic Approach.- On a Problem Suggested by A.D. Wentzell.- Regularity Properties of a Supercritical Superprocess.- A Lemma on Super-Brownian Motion with Some Applications.- Sequential Screening of Significant Variables of an Additive Model.- Brownian Bandits.- Lyapunov Exponents and Distributions of Magnetic Fields in Dynamo Models.- The Strong Markov Property of the Support of Super-Brownian Motion.- Some Results on Random Walks on Groups.- Diffusions as Integral Curves, or Stratonovich without Itô.- Convex Solutions to Variational Inequalities and Multidimensional Singular Control.- Regularity of Self-Diffusion Coefficient.- Representation Results for Stopping Times in Jump-with-Drift Processes.

1 Introduction.- 2 Pritchard-Salamon systems.- 3 Linear quadratic control and frequency domain inequalities.- 4 H?-control with state-feedback.- 5 H?-control with measurement-feedback.- 6 Examples and conclusions.- A Stability theory.- B Differentiability and some convergence results.- C The invariant zeros condition.

Theoretical and Computational Aspects of Feedback in Structural Systems with Piezoceramic Controllers.- Modeling and Approximation of a Coupled 3-D Structural Acoustics Problem.- Parameter Identification in the Frequency Domain.- On Model Identification of Gaussian Reciprocal Processes from the Eigenstructure of Their Covariances.- An Inverse Problem in Thermal Imaging.- Optimal Fixed-Finite-Dimensional Compensator for Burgers' Equation with Unbounded Input/Output Operators.- Boundary Control and Stabilization for a Viscous Burgers' Equation.- A Sinc-Galerkin Method for Convection Dominated Transport.- Discrete Observability of the Wave Equation on Bounded Domains in Euclidean Space.- A New Algorithm for Nonlinear Filtering.- Continuation Methods for Nonlinear Eigenvalue Problems via a Sinc-Galerkin Scheme.- On the Kalman-Yacubovich-Popov Lemma for Nonlinear Systems.- Robust Control of Distributed Parameter Systems with Structured Uncertainty.- On the Phase Portrait of the Karmarkar's Flow.- The Reduced Basis Method in Control Problems.- Numerical Treatment of Oscillating Integrals Appearing in Heat Conduction Problems.- Root Locus for Control Systems with Completely Separated Boundary Conditions.- On the Problem of Parameter Identification in Perspective Systems and its Application to Motion Estimation Problems in Computer Vision.- Over-Regularization of Ill-Posed Problems.- A Model for the Optimal Control of a Measles Epidemic.- Condition Numbers for the Sinc Matrices Associated with Discretizing the Second-Order Differential Operator.- Computational Models for Lattice Structures.- The Partial Differential Equations of Controlled Invariance.- What is the Distance Between Two Autoregressive Systems?.- Sinc Convolution Approximate Solution of Burgers' Equation.- Sinc-Galerkin Collocation Method for Parabolic Equations in Finite Space-Time Regions.- A Modified Levenberg-Marquardt Algorithm for Large-Scale Inverse Problems.- A Local Sampling Scheme for Invariant Evolution Equations on a Compact Symmetric Space, Especially the Sphere.- Hasse Diagram and Dynamic Feedback of Linear Systems.- Point Placement for Observation of the Heat Equation on the Sphere.

Hommage à Jean-Louis Verdier: au jardin des systèmes intégrables.- I. Algebro-Geometric Methods and ?-Functions.- Compactified Jacobians of Tangential Covers.- Heisenberg Action and Verlinde Formulas.- Hyperelliptic Curves that Generate Constant Mean Curvature Tori in ?3.- Modular Forms as ?-Functions for Certain Integrable Reductions of the Yang-Mills Equations.- The ?-Functions of the gAKNS Equations.- On Segal-Wilson's Definition of the ?-Function and Hierarchies AKNS-D and mcKP.- The Boundary of Isospectral Manifolds, Bäcklund Transforms and Regularization.- II. Hamiltonian Methods.- The Geometry of the Full Kostant-Toda Lattice.- Deformations of a Hamiltonian Action of a Compact Lie Group.- Linear-Quadratic Metrics "Approximate" any Nondegenerate, Integrable Riemannian Metric on the 2-Sphere and the 2-Torus.- Canonical Forms for Bihamiltonian Systems.- Bihamiltonian Manifolds and Sato's Equations.- III. Solvable Lattice Models.- Generalized Chiral Potts Models and Minimal Cyclic Representations of $${U_q}(\widehat{gl}(n, C))$$).- Infinite Discrete Symmetry Group for the Yang-Baxter Equations and their Higher Dimensional Generalizations.- IV. Topological Field Theory.- Integrable Systems and Classification of 2-Dimensional Topological Field Theories.- List of Participants.

On Convex Combinations of Unitary Operators in C*-Algebras.- Approximately Inner Derivations, Decompositions and Vector Fields of Simple C*-Algebras.- Derivations in Commutative C*-Algebras.- Representation of Quantum Groups.- Automorphism Groups and Covariant Irreducible Representations.- Proper Actions of Groups on C*-Algebras.- On the Baum-Connes Conjecture.- On Primitive Ideal Spaces of C*-Algebras over Certain Locally Compact Groupoids.- On Sequences of Jones' Projections.- The Powers' Binary Shifts on the Hyperfinite Factor of Type II1.- Index Theory for Type III Factors.- Relative Entropy of a Fixed Point Algebra.- Jones Index Theory for C*-Algebras.- Three Tensor Norms for Operator Spaces.- Extension Problems for Maps on Operator Systems.- Multivariable Toeplitz Operators and Index Theory.- On Maximality of Analytic Subalgebras Associated with Flow in von Neumann Algebras.- Reflections Relating a von Neumann Algebra and Its Commutant.- Normal AW*-Algebras.

1 Immunogenetics of nephritis.- 2 Introduction and regulation of autoimmune experimental glomerulonephritis.- 3 Molecular mechanisms of in situ immune complex formation in experimental membranous nephropathy.- 4 Immune complex handling in systemic lupus erythematosus.- 5 The membrane attack complex of complement in renal injury.- 6 Cell-mediated immunity in glomerulonephritis.- 7 Eicosanoids and cytokines in glomerular injury.- 8 Immunology of minimal-change nephropathy.- 9 IgA nephropathies and Henoch-Schonlein purpura.- 10 C3 nephritic factor and membranoproliferative glomerulonephritis.- 11 Anti-glomerular basement membrane disease.- 12 Autoimmunity in systemic vasculitis.- 13 Immunopathogenic mechanisms of interstitial nephritis.

1 Introduction.- 2 Osteoarthritis.- 3 Rheumatoid arthritis.- 4 Juvenile arthritis.- 5 Crystal-associated arthropathies.- 6 Ankylosing spondylitis.- 7 Psoriatic arthritis.- 8 Reiter's syndrome.- 9 Systemic lupus erythematosus.- 10 Systemic sclerosis (scleroderma).- 11 Polymyositis-dermatomyositis.- 12 Vasculitis.- 13 Polymyalgia rheumatica and giant cell arteritis.- 14 Arthritis in pregnancy.- 15 Fibromyalgia.- 16 Low back pain.- 17 Prediction of the clinical efficacy of and intolerance to antirheumatic drug therapy.- 18 Prediction of organ system toxicity with anti-rheumatic drug therapy.- 19 New concepts in prognosis of rheumatic diseases for the 1990s.

Section A: Scientific Aspects of Endometriosis.- 1 The pathogenesis and aetiology of endometriosis.- 2 The endometriotic implant.- 3 Steroid receptors in endometriosis.- 4 The endometrium and endometriosis.- 5 The peritoneal environment in endometriosis.- 6 The immune system in endometriosis.- 7 Endometriosis and infertility.- Section B: Clinical Aspects of Endometriosis.- 8 The classification of endometriosis: a comprehensive review.- 9 Extrapelvic endometriosis.- 10 Macro- and microsurgical treatment of endometriosis.- 11 Laser laparoscopy in the treatment of endometriosis.- 12 Gestogens and anti-gestogens as treatment of endometriosis.- 13 The use of danazol as a treatment of endometriosis.- 14 GnRH analogues in the treatment of endometriosis - rationale and efficacy.- 15 The role of definitive surgery and hormone replacement therapy in the treatment of endometriosis.- 16 The future.

1. Introduction.- 2. Metabolism of endogenous purines.- 3. Tissue specificity of purine metabolism.- 4. Purine absorption and excretion.- 5. Extracellular activities - purine receptors and pharmacology.- 6. The nervous system - cellular aspects.- 7. The central nervous system - behaviour.- 8. The cardiovascular system.- 9. Purines and the control of renal function.- 10. Respiratory, gastrointestinal and other systems.- 11. Clinical consequences of aberrant purine metabolism.- References.- Index of subjects.

Information theory, cybernetics and the theory of finite automata are used to model learning-by-doing, bounded rationality, routine behavior, and the formation of teams. The non-neoclassical characterization of production developed in this book ignores the usual quantitative relationships between inputs and outputs and instead views production strictly as a problem of control and communication. The motivation for this unconventional characterization of production comes from Schumpeter's critique of neoclassical economic theory. Schumpeter argued that neoclassical economic theory, and the habits of thought engendered by it, was the major obstacle to acquiring an understanding of technological change. The non-neoclassical characterization of production developed in this book is in keeping with how economic historians describe specific technological changes and how they write technological histories about particular machines, firms or industries.