Del 97 - Progress in Nonlinear Differential Equations and Their Applications

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I

Dirichlet Boundary Conditions on Euclidean Space

Häftad, Engelska, 2023

AvJérôme Le Rousseau,Gilles Lebeau,Luc Robbiano,Jerome Le Rousseau,Gilles LeBeau

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This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation.

Produktinformation

Utgivningsdatum2023-03-30
Mått178 x 254 x 23 mm
Vikt786 g
FormatHäftad
SpråkEngelska
SerieDel 97 i Progress in Nonlinear Differential Equations and Their Applications
Antal sidor411
FörlagSpringer Nature Switzerland AG
ISBN9783030886769

Tillhör följande kategorier

Introduction.- Part 1: Calculus with a Large Parameter, Carleman Estimates Derivation.- (Pseudo-)differential Operators with a Large Parameter.- Carleman Estimate for a Second-Order Elliptic Operator.- Optimality Aspects of Carleman Estimates.- Part 2: Applications of Carleman Estimates.- Unique Continuation.- Stabilization of the Wave Equation with an Inner Damping.- Controllability of Parabolic Equations.- Part 3: Background Material: Analysis and Evolution Equations.- A Short Review of Distribution Theory.- Invariance under Change of Variables.- Elliptic Operator with Dirichlet Data and Associated Semigroup.- Some Elements of Functional Analysis.- Some Elements of Semigroup Theory.- Bibliography.- Subject Index.- Index of Notation.