Partial Differential Equations VIII: Overdetermined Systems Dissipative Singular Schrödinger Operator Index Theory (Encyclopaedia of Mathematical Sciences)

M. A. Shubin,C. Constanda,IU.V.Egorov,M.A. Shubin,IU.V. Egorov

ISBN 10: 3540570365 / ISBN 13: 9783540570363

Editore: Springer, 1995

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Dati bibliografici

• Titolo: Partial Differential Equations VIII: Overdetermined Systems Dissipative Singular Schrödinger Operator Index Theory (Encyclopaedia of Mathematical Sciences)
• Editore: Springer
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 3540570365
• ISBN 13: 9783540570363
• Rilegatura: Hardcover
• Edizione: 1st Edition
• Condizione: New

Descrizione articolo

Riassunto

This volume contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schrodinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples.

Dalla quarta di copertina

This volume of the EMS contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples.