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Recent Advances in PDEs: Analysis, Numerics and Control

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Cover of 'Recent Advances in PDEs: Analysis, Numerics and Control'

Table of Contents

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    Book Overview
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    Chapter 1 Essential Spectrum and Null Controllability of Some Parabolic Equations
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    Chapter 2 Well-Posedness and Asymptotic Behavior for a Nonlinear Wave Equation
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    Chapter 3 A Second-Order Linear Newmark Method for Lagrangian Navier-Stokes Equations
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    Chapter 4 Lubrication Theory and Viscous Shallow-Water Equations
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    Chapter 5 The Influence of the Tikhonov Term in Optimal Control of Partial Differential Equations
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    Chapter 6 On the Design of Algebraic Fractional Step Methods for Viscoelastic Incompressible Flows
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    Chapter 7 Some Remarks on the Hierarchic Control for Coupled Parabolic PDEs
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    Chapter 8 Local Null Controllability of the N-Dimensional Ladyzhenskaya-Smagorinsky with N-1 Scalar Controls
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    Chapter 9 Numerical Estimations of the Cost of Boundary Controls for the Equation y t − εy xx + My x = 0 with Respect to ε
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    Chapter 10 Control of Random PDEs: An Overview
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    Chapter 11 The Dubovitskii and Milyutin Formalism Applied to an Optimal Control Problem in a Solidification Model
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    Chapter 12 Local Regularity for Fractional Heat Equations
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