New Prospects in Direct, Inverse and Control Problems for Evolution Equations

✍ Scribed by Angelo Favini, Genni Fragnelli, Rosa Maria Mininni (eds.)

• Publisher: Springer International Publishing
• Year: 2014
• Tongue: English
• Leaves: 472
• Series: Springer INdAM Series 10
• Edition: 1
• Category: Library

✦ Synopsis

This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have been studied intensively in theoretical research and are the source of an enormous number of applications. In this volume, particular attention is given to direct, inverse and control problems for EEs. The book provides an updated overview of the field, revealing its richness and vitality.

✦ Table of Contents

Front Matter....Pages i-xii
Exponential Stability of the Wave Equation with Memory and Time Delay....Pages 1-22
Existence of Global Weak Solutions to a Generalized Hyperelastic-Rod Wave Equation with Source....Pages 23-47
Exponential Decay Properties of a Mathematical Model for a Certain Fluid-Structure Interaction....Pages 49-78
Inverse Coefficient Problem for Grushin-Type Parabolic Operators....Pages 79-91
Determining the Scalar Potential in a Periodic Quantum Waveguide from the DN Map....Pages 93-105
A General Approach to Identification Problems....Pages 107-119
A Control Approach for an Identification Problem Associated to a Strongly Degenerate Parabolic System with Interior Degeneracy....Pages 121-139
On the Nature of the Instability of Radial Power Equilibria of a Semilinear Parabolic Equation....Pages 141-159
Abstract Elliptic Problems Depending on a Parameter and Parabolic Problems with Dynamic Boundary Conditions....Pages 161-202
Increasing Stability of the Continuation for General Elliptic Equations of Second Order....Pages 203-218
Simultaneous Observability of Plates....Pages 219-227
Kernel Estimates for Nonautonomous Kolmogorov Equations with Potential Term....Pages 229-251
On Some Inverse Problems of the Calculus of Variations for Second Order Differential Equations with Deviating Arguments and Partial Derivatives....Pages 253-270
Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory....Pages 271-303
Inverse Problem for a Linearized Jordan–Moore–Gibson–Thompson Equation....Pages 305-351
Solutions of Stochastic Systems Generalized Over Temporal and Spatial Variables....Pages 353-370
Recovering the Reaction Coefficient in a Linear Parabolic Equation....Pages 371-399
L p -Theory for Schrödinger Operators Perturbed by Singular Drift Terms....Pages 401-418
Semilinear Delay Evolution Equations with Nonlocal Initial Conditions....Pages 419-435
Elliptic Differential-Operator Problems with the Spectral Parameter in Both the Equation and Boundary Conditions and the Corresponding Abstract Parabolic Initial Boundary Value Problems....Pages 437-471

✦ Subjects

Partial Differential Equations; Operator Theory; Integral Equations; Systems Theory, Control; Optimization