The role of an L_2 (Ω)-energy estimate in the theories of uniform stabilization and exact controllability for Schrödinger equations with Neumann boundary control



Título del documento: The role of an L_2 (Ω)-energy estimate in the theories of uniform stabilization and exact controllability for Schrödinger equations with Neumann boundary control
Revista: Boletim da Sociedade Paranaense de Matematica
Base de datos: PERIÓDICA
Número de sistema: 000395908
ISSN: 0037-8712
Autores: 1
Instituciones: 1University of Virginia, Department of Mathematics, Charlottesville, Virginia. Estados Unidos de América
Año:
Volumen: 25
Número: 1-2
Paginación: 109–137-109–137
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés The present paper deals with (linear) Schrodinger equations, of very general form, which are defined on a bounded domain Ω ⊂ Rn. With focus on these dynamics, we shall then discuss and analyze the specific and foundational topic of a-priori energy identities, with the goal of deriving control-theoretic implications. These will include the issue of optimal regularity, as well as the problems of exact controllability (by open loop controls) and of uniform stabilization (by closed loop feedback controls)
Disciplinas: Matemáticas,
Física y astronomía
Palabras clave: Matemáticas aplicadas,
Física atómica y molecular,
Ecuación de Schrodinger,
Ecuaciones lineales,
Control de Neumann,
Ecuaciones diferenciales,
Ecuaciones diferenciales parciales,
Estabilización,
Controlabilidad
Keyword: Mathematics,
Physics and astronomy,
Applied mathematics,
Atomic and molecular physics,
Schrodinger equation,
Linear equations,
Neumann control,
Differential equations,
Partial differential equations,
Stabilization,
Controllability
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