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

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

Buch | Hardcover
XII, 471 Seiten
2014 | 2014
Springer International Publishing (Verlag)
978-3-319-11405-7 (ISBN)
53,49 inkl. MwSt
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.

1 F. Alabau-Boussouira, S. Nicaise and C. Pignotti: Exponential stability of the wave equation with memory and time delay.- 2 Fabio Ancona and Giuseppe Maria Coclite: Existence of global weak solutions to a generalized hyperelastic-rod wave equation with source.- 3 George Avalos and Francesca Bucci: Exponential decay properties of a mathematical model for a certain fluid-structure interaction.- 4 Karine Beauchard and Piermarco Cannarsa: Inverse coefficient problem for Grushin-type parabolic operators.- 5 Mourad Choulli, Kian Yavar and Eric Soccorsi: Determining the scalar potential in a periodic quantum waveguide from the DN map.- 6 Angelo Favini, Alfredo Lorenzi and Hiroki Tanabe: A general approach to identification problems.- 7 Genni Fragnelli, Gabriela Marinoschi, Rosa Maria Mininni and Silvia Romanelli: A control approach for an identification problem associated to a strongly degenerate parabolic system with interior degeneracy.- 8 Jerome A. Goldstein and Junqiang Han: On the Nature of the Instability of Radial Power Equilibria of a Semilinear Parabolic Equation.- 9 Davide Guidetti: Abstract elliptic problems depending on a parameter and parabolic problems with dynamic boundary conditions.- 10 Victor Isakov: Increasing stability of the continuation for general elliptic equations of second order.- 11 Vilmos Komornik and Paola Loreti: Simultaneous observability of plates.- 12 Markus Kunze, Luca Lorenzi and Abdelaziz Rhandi: Kernel estimates for nonautonomous Kolmogorov equations with potential term.- 13 Galina Kurina: On Some Inverse Problems of the Calculus of Variations for Second Order Differential Equations with Deviating Arguments and Partial Derivatives.- 14 Irena Lasiecka and XiaojunWang: Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory.- 15 Shitao Liu and Roberto Triggiani: Inverse problem for a linearized JordanMooreGibsonThompson equation.- 16 Irina V. Melnikova, Uliana A. Alekseeva and Vadim A. Bovkun: Solutions of Stochastic Systems generalized over temporal and spatial variables.- 17 Gianluca Mola: Recovering the reaction coefficient in a linear parabolic equation.- 18 Noboru Okazawa and Motohiro Sobajima: LP-theory for Schrodinger operators perturbed by singular drift terms.- 19 Ioan I. Vrabie: Semilinear delay evolution equations with nonlocal initial conditions.- 20 Yakov Yakubov: Elliptic differential-operator problems with the spectral parameter in both the equation and boundary conditions and the corresponding abstract parabolic initial boundary value problems.

Erscheint lt. Verlag 9.12.2014
Reihe/Serie Springer INdAM Series
Zusatzinfo XII, 471 p. 37 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 883 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte Carleman estimates • Control Theory • Direct Problems • Inverse Problems • Partial differential equations • Well posedness of evolution equations
ISBN-10 3-319-11405-0 / 3319114050
ISBN-13 978-3-319-11405-7 / 9783319114057
Zustand Neuware
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