to Shape Optimization Theory and Some Classical Problems -- Optimization Problems over Classes of Convex Domains -- Optimal Control Problems: A General Scheme -- Shape Optimization Problems with Dirichlet Condition on the Free Boundary -- Existence of Classical Solutions -- Optimization Problems for Functions of Eigenvalues -- Shape Optimization Problems with Neumann Condition on the Free Bound…
1 -- The Work of G. Stampacchia in Variational Inequalities -- In Memory of Guido Stampacchia -- The Collaboration between Guido Stampacchia and Jacques-Louis Lions on Variational Inequalities -- In Memory of Guido Stampacchia -- Guido Stampacchia -- Memories of Guido Stampacchia -- In Memory of Guido Stampacchia -- Guido Stampacchia, My Father -- 2 -- Convergence and Stability of a Regularizat…
Introduction, Exemples -- Topologies sur les domaines de ?N -- Continuité par rapport au domaine -- Existence de formes optimales -- Dérivation par rapport au domaine -- Propriétés géométriques de l’optimum -- Relaxation, homogénéisation.Ce livre est une initiation aux approches modernes de l’optimisation mathématique de formes. Il s’appuie sur les seules connaissances de premiè…
Preface -- A. Friedman: Introduction to Neurons -- D. Terman: An Introduction to Dynamical Systems and Neuronal Dynamics -- B. Ermentrout: Neural Oscillators -- A. Borisyuk: Physiology and Mathematical Modeling of the Auditory System.This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapte…
Stopping a Viscous Fluid by a Feedback Dissipative Field: Thermal Effects without Phase Changing -- Ultracontractive Bounds for Nonlinear Evolution Equations Governed by the Subcritical p-Laplacian -- Weighted L 2-spaces and Strong Solutions of the Navier-Stokes Equations in -- A Limit Model for Unidirectional Non-Newtonian Flows with Nonlocal Viscosity -- On the Problem of Thermocapillary Con…
Shilov Boundary for Normed Algebras -- BMO-Mappings in the Plane -- Harmonic Forms on Non-Orientable Surfaces -- Periodic Fatou Components and Singularities of the Inverse Function -- On the Normality of Topological Target Manifolds for Riemann-Hilbert Problems -- Geometric Aspects of Generalized Analytic Functions -- The Riemann-Hilbert Boundary Value Problem on a Cut Plane -- On the Logarithm…
and Preliminaries -- Almost Automorphic Evolution Equations -- Almost Periodicity in Fuzzy Setting -- Almost Automorphy in Fuzzy Setting.Since the publication of our first book [80], there has been a real resiu-gence of interest in the study of almost automorphic functions and their applications ([16, 17, 28, 29, 30, 31, 32, 40, 41, 42, 46, 51, 58, 74, 75, 77, 78, 79]). New methods (method of i…
Wavelets: Basic properties, parameterizations and sampling -- Derivatives and multiwavelets -- Sampling in Fourier and wavelet analysis -- Bases for time-frequency analysis -- Fourier uncertainty principles -- Function spaces and operator theory -- Uncertainty principles in mathematical physics.Developed in this book are several deep connections between time--frequency (Fourier/Gabor) analysis …
Modèles micro-macro pour les solides -- Techniques d’homogénéisation -- Simulation moléculaire -- Modèles micro-macro pour les fluides -- Cinétique chimique -- Vers une unité des approches.Systèmes multi-échelles est une introduction à la problématique des systémes multi-échelles du point de vue du mathématicien appliqué. Il se compose d'une mosaique d'exemples dont le seul lie…
Sturm’s 1836 Oscillation Results Evolution of the Theory -- Sturm Oscillation and Comparison Theorems -- Charles Sturm and the Development of Sturm-Liouville Theory in the Years 1900 to 1950 -- Spectral Theory of Sturm-Liouville Operators Approximation by Regular Problems -- Spectral Theory of Sturm-Liouville Operators on Infinite Intervals: A Review of Recent Developments -- Asymptotic Metho…