Operator Methods for Boundary Value Problems

Seppo Hassi (Curatore)

Hendrik S. V. de Snoo (Curatore)

Cambridge University Press, 2012

Presented in this volume are a number of new results concerning the extension theory and spectral theory of unbounded operators using the recent notions of boundary triplets and boundary relations. This approach relies on linear single-valued and multi-valued maps, isometric in a Krein space sense, and offers a basic framework for recent developments in system theory. Central to the theory are analytic tools such as Weyl functions, including Titchmarsh-Weyl m-functions and Dirichlet-to-Neumann maps. A wide range of topics is considered in this context from the abstract to the applied, including boundary value problems for ordinary and partial differential equations; infinite-dimensional perturbations; local point-interactions; boundary and passive control state/signal systems; extension theory of accretive, sectorial and symmetric operators; and Calkin's abstract boundary conditions. This accessible treatment of recent developments, written by leading researchers, will appeal to a broad range of researchers, students and professionals.

• Curatore: Seppo Hassi, Hendrik S. V. de Snoo
• Editore: Cambridge University Press
• Collana: London Mathematical Society Lecture Note Series
• Anno: 2012
• Rilegatura: Paperback / softback
• Pagine: 309 p.
• Dimensioni: 226 x 152 mm
• Peso: 450 gr.
• EAN: 9781107606111

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