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Beyond Bilinearity: Exploring Nonlinear Dirichlet Forms and their Applications - Softcover

 
9783384267801: Beyond Bilinearity: Exploring Nonlinear Dirichlet Forms and their Applications
  • Publishertredition
  • Publication date2024
  • ISBN 10 338426780X
  • ISBN 13 9783384267801
  • BindingPaperback
  • LanguageEnglish
  • Number of pages172

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Published by Tredition Jun 2024, 2024
ISBN 10: 338426780X ISBN 13: 9783384267801
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The main motivation and prime example of a Dirichlet form is the energy of the Laplace operator. The Laplacian was first introduced and studied by Laplace and other after him in the 18th and 19th century. Today the operator still is an active area of research, since it is of fundamental importance in the equations that govern heat, electromagnetism, uid motion and quantum mechanics. A modern approach, developed in the 20th century after the introduction of modern functional analysis in the form of Hilbert and Banach spaces, is the theory of semigroups and bilinear forms. The idea of semigroups goes back to von Neumann and his pivotal book on the mathematics of quantum mechanics [vN32]. He realised physical observable as self-adjoint operators and studied the groups generated by skew-selfadjoint Hamiltonians. Later on after the second world war, Hille [Hil48] as well as Phillips [LP61] established the general theory of strongly continuous semigroups and their generators. Let us sketch this approach for the Laplacian. Let a : H1(Rn) × H1(Rn) R be a bilinear form, defined by 172 pp. Englisch. Seller Inventory # 9783384267801

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Published by Tredition, 2024
ISBN 10: 338426780X ISBN 13: 9783384267801
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The main motivation and prime example of a Dirichlet form is the energy of the Laplace operator. The Laplacian was first introduced and studied by Laplace and other after him in the 18th and 19th century. Today the operator still is an active area of research, since it is of fundamental importance in the equations that govern heat, electromagnetism, uid motion and quantum mechanics. A modern approach, developed in the 20th century after the introduction of modern functional analysis in the form of Hilbert and Banach spaces, is the theory of semigroups and bilinear forms. The idea of semigroups goes back to von Neumann and his pivotal book on the mathematics of quantum mechanics [vN32]. He realised physical observable as self-adjoint operators and studied the groups generated by skew-selfadjoint Hamiltonians. Later on after the second world war, Hille [Hil48] as well as Phillips [LP61] established the general theory of strongly continuous semigroups and their generators. Let us sketch this approach for the Laplacian. Let a : H1(Rn) × H1(Rn) R be a bilinear form, defined by. Seller Inventory # 9783384267801

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Condition: Hervorragend. Zustand: Hervorragend | Seiten: 172 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 42852733/1

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ISBN 10: 338426780X ISBN 13: 9783384267801
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The main motivation and prime example of a Dirichlet form is the energy of the Laplace operator. The Laplacian was first introduced and studied by Laplace and other after him in the 18th and 19th century. Today the operator still is an active area of resear. Seller Inventory # 1719885723

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Taschenbuch. Condition: Neu. Beyond Bilinearity: Exploring Nonlinear Dirichlet Forms and their Applications | Nora | Taschenbuch | Paperback | Englisch | 2024 | tredition | EAN 9783384267801 | Verantwortliche Person für die EU: preigu, Ansas Meyer, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Seller Inventory # 129499887

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