Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I
portes grátis
Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I
Dirichlet Boundary Conditions on Euclidean Space
Lebeau, Gilles; Le Rousseau, Jerome; Robbiano, Luc
Springer Nature Switzerland AG
03/2022
411
Dura
Inglês
9783030886738
15 a 20 dias
983
Descrição não disponível.
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.
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Elliptic Carleman Estimates;Stabilization and Controllability properties of PDEs;Quantified unique continuations;Logarithmic stabilization of the wave equation;Null-controllability of the heat equation
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
