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Control and Inverse Problems : The 2022 Spring Workshop in Monastir, Tunisia / / Kaïs Ammari, Chaker Jammazi, and Faouzi Triki, editors
| Control and Inverse Problems : The 2022 Spring Workshop in Monastir, Tunisia / / Kaïs Ammari, Chaker Jammazi, and Faouzi Triki, editors |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2023] |
| Descrizione fisica | 1 online resource (276 pages) |
| Disciplina | 629.8312 |
| Collana | Trends in Mathematics Series |
| Soggetto topico |
Control theory
Inverse problems (Differential equations) |
| ISBN | 3-031-35675-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Stabilization of one dimensional wave equation with variable potential and torque -- Controlling a dynamic system through reinforcement learning -- Landweber iterative method for an inverse source problem of space-fractional diffusion equations -- On the Spectrum Distribution of Parametric Second-order Delay Differential Equations. Perspectives in Partial Pole Placement -- Exact controllability of the linear Biharmonic Schrdinger equation with space-dependent coefficients -- Carleman estimate and application to the stabilization of a dissipative hyperbolic system -- On the transfer of information in multiplier equations -- A Global Carleman Estimates of the linearized sixth-order 1 D-Boussinesq equation Application -- Nonparametric instrumental regression via mollification -- Finite-time stabilization of some classes of infinite dimensional systems -- Dispersion on certain Cartesian products of graphs -- Tracking Control of Chained Systems: application to nonholonomic unicycle mobile robots -- A short elementary proof of the Gearhart-Pruss theorem for bounded semigroups -- Revisit the damped wave equation. |
| Record Nr. | UNINA-9910746998003321 |
| Cham, Switzerland : , : Birkhäuser, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Research in PDEs and related fields : the 2019 Spring School, Sidi Bel Abbès, Algeria / / Kaïs Ammari, editor
| Research in PDEs and related fields : the 2019 Spring School, Sidi Bel Abbès, Algeria / / Kaïs Ammari, editor |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2022] |
| Descrizione fisica | 1 online resource (192 pages) |
| Disciplina | 629.8312 |
| Collana | Tutorials, schools, and workshops in the mathematical sciences |
| Soggetto topico |
Control theory
Differential equations, Partial Differential equations, Partial - Numerical solutions Teoria de control Equacions en derivades parcials Solucions numèriques |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031142680
9783031142673 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Sobolev Spaces and Elliptic Boundary Value Problems -- 1 Sobolev Spaces, Inequalities, Dirichlet, and Neumann Problems for the Laplacian -- 1.1 Sobolev Spaces -- 1.2 First Properties -- 1.3 Traces -- 1.4 Interpolation -- 1.5 Transposition -- 1.6 Inequalities -- 1.7 Weak Solutions -- 1.8 Strong Solutions -- 1.9 Very Weak Solutions -- 1.10 Solutions in Hs(Ω), with 0 < -- s < -- 2 -- 2 The Stokes Problem with Various Boundary Conditions -- 2.1 The Problem (S) with Dirichlet Boundary Condition -- 2.2 The Stokes Problem with Navier Type Boundary Condition -- 2.3 The Stokes Problem with Navier Boundary Condition -- References -- Survey on the Decay of the Local Energy for the Solutions of the Nonlinear Wave Equation -- 1 Introduction and Preliminaries -- 2 Scattering for the Subcritical and Critical Wave Equation -- 2.1 The Subcritical Case -- 2.1.1 Prisized Morawetz Estimate -- 2.1.2 Global Time Strichartz Norms -- 2.1.3 The Proof of Theorem 2.1 -- 2.2 The Critical Case -- 2.2.1 Global Time Strichartz Norms -- 2.2.2 The Proof of Theorem 2.1 in the Case p=5 -- 3 Exponential Decay for the Local Energy of the Subcritical and Critical Wave Equation with Localized Semilinearity -- 3.1 Nonlinear Lax-Phillips Theory -- 3.2 Exponential Decay for the Local Energy of the Subcritical Wave Equation -- 3.2.1 The Compactness of Z(T) -- 3.2.2 Proof of Theorem 3.1 -- 3.3 Exponential Decay for the Local Energy of the Critical Wave Equation -- 4 Polynomial Decay for the Local Energy of the Semilinear Wave Equation with Small Data -- 4.1 Fundamental Lemmas -- 4.2 Proof of Theorem 4.1: Existence and Decay of the Local Energy -- 5 Decay of the Local Energy for the Solutions of the Critical Klein-Gordon Equation -- 5.1 Strichartz Norms Global in Time -- 5.2 Exponential Decay of the Local Energy of Localized Linear Klein-Gordon Equation.
5.2.1 Semi-Group of Lax-Phillips Adapted to Localized Linear Klein-Gordon Equation -- 5.2.2 Proof of Theorem 5.9 -- 5.3 Proof of Theorem 5.1 -- Appendix -- References -- A Spectral Numerical Method to Approximate the Boundary Controllability of the Wave Equation with Variable Coefficients -- 1 Introduction -- 2 Numerical Approximation of the Control Problem -- 3 Minimal L2-Weighted Controls -- 4 Numerical Experiments -- 5 Appendix -- References -- Aggregation Equation and Collapse to Singular Measure -- 1 Introduction -- 2 Graph Reformulation and Main Results -- 3 Dini and Hölder Spaces -- 4 Modified Curved Cauchy Operators -- 5 Local Well-Posedness -- 6 Global Well-Posedness -- 6.1 Weak and Strong Damping Behavior of the Source Term -- 6.2 Global a Priori Estimates -- References -- Geometric Control of Eigenfunctions of Schrödinger Operators -- 1 Introduction -- 2 The Geometric Control Condition -- 3 Are There Examples for Which (OE(ω)) Holds and (OS(ω)) Does Not? -- 4 A Geometric Interpretation of (V-GCC) and Proof of Theorem 9 -- 5 On the Proof of Theorem 10 -- References -- Stability of a Graph of Strings with Local Kelvin-Voigt Damping -- 1 Introduction -- 2 Well-Posedness of the System -- 3 Asymptotic Behavior -- References. |
| Record Nr. | UNINA-9910624310303321 |
| Cham, Switzerland : , : Birkhäuser, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Research in PDEs and related fields : the 2019 Spring School, Sidi Bel Abbès, Algeria / / Kaïs Ammari, editor
| Research in PDEs and related fields : the 2019 Spring School, Sidi Bel Abbès, Algeria / / Kaïs Ammari, editor |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2022] |
| Descrizione fisica | 1 online resource (192 pages) |
| Disciplina | 629.8312 |
| Collana | Tutorials, schools, and workshops in the mathematical sciences |
| Soggetto topico |
Control theory
Differential equations, Partial Differential equations, Partial - Numerical solutions Teoria de control Equacions en derivades parcials Solucions numèriques |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031142680
9783031142673 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Sobolev Spaces and Elliptic Boundary Value Problems -- 1 Sobolev Spaces, Inequalities, Dirichlet, and Neumann Problems for the Laplacian -- 1.1 Sobolev Spaces -- 1.2 First Properties -- 1.3 Traces -- 1.4 Interpolation -- 1.5 Transposition -- 1.6 Inequalities -- 1.7 Weak Solutions -- 1.8 Strong Solutions -- 1.9 Very Weak Solutions -- 1.10 Solutions in Hs(Ω), with 0 < -- s < -- 2 -- 2 The Stokes Problem with Various Boundary Conditions -- 2.1 The Problem (S) with Dirichlet Boundary Condition -- 2.2 The Stokes Problem with Navier Type Boundary Condition -- 2.3 The Stokes Problem with Navier Boundary Condition -- References -- Survey on the Decay of the Local Energy for the Solutions of the Nonlinear Wave Equation -- 1 Introduction and Preliminaries -- 2 Scattering for the Subcritical and Critical Wave Equation -- 2.1 The Subcritical Case -- 2.1.1 Prisized Morawetz Estimate -- 2.1.2 Global Time Strichartz Norms -- 2.1.3 The Proof of Theorem 2.1 -- 2.2 The Critical Case -- 2.2.1 Global Time Strichartz Norms -- 2.2.2 The Proof of Theorem 2.1 in the Case p=5 -- 3 Exponential Decay for the Local Energy of the Subcritical and Critical Wave Equation with Localized Semilinearity -- 3.1 Nonlinear Lax-Phillips Theory -- 3.2 Exponential Decay for the Local Energy of the Subcritical Wave Equation -- 3.2.1 The Compactness of Z(T) -- 3.2.2 Proof of Theorem 3.1 -- 3.3 Exponential Decay for the Local Energy of the Critical Wave Equation -- 4 Polynomial Decay for the Local Energy of the Semilinear Wave Equation with Small Data -- 4.1 Fundamental Lemmas -- 4.2 Proof of Theorem 4.1: Existence and Decay of the Local Energy -- 5 Decay of the Local Energy for the Solutions of the Critical Klein-Gordon Equation -- 5.1 Strichartz Norms Global in Time -- 5.2 Exponential Decay of the Local Energy of Localized Linear Klein-Gordon Equation.
5.2.1 Semi-Group of Lax-Phillips Adapted to Localized Linear Klein-Gordon Equation -- 5.2.2 Proof of Theorem 5.9 -- 5.3 Proof of Theorem 5.1 -- Appendix -- References -- A Spectral Numerical Method to Approximate the Boundary Controllability of the Wave Equation with Variable Coefficients -- 1 Introduction -- 2 Numerical Approximation of the Control Problem -- 3 Minimal L2-Weighted Controls -- 4 Numerical Experiments -- 5 Appendix -- References -- Aggregation Equation and Collapse to Singular Measure -- 1 Introduction -- 2 Graph Reformulation and Main Results -- 3 Dini and Hölder Spaces -- 4 Modified Curved Cauchy Operators -- 5 Local Well-Posedness -- 6 Global Well-Posedness -- 6.1 Weak and Strong Damping Behavior of the Source Term -- 6.2 Global a Priori Estimates -- References -- Geometric Control of Eigenfunctions of Schrödinger Operators -- 1 Introduction -- 2 The Geometric Control Condition -- 3 Are There Examples for Which (OE(ω)) Holds and (OS(ω)) Does Not? -- 4 A Geometric Interpretation of (V-GCC) and Proof of Theorem 9 -- 5 On the Proof of Theorem 10 -- References -- Stability of a Graph of Strings with Local Kelvin-Voigt Damping -- 1 Introduction -- 2 Well-Posedness of the System -- 3 Asymptotic Behavior -- References. |
| Record Nr. | UNISA-996499871603316 |
| Cham, Switzerland : , : Birkhäuser, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||