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A Groupoid Approach to Boundary Value Problems
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LAP LAMBERT Academic Publishing Sep 2023, 2023
ISBN 10: 620678455X
ISBN 13: 9786206784555
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Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The method of layer potentials is one of the classical approaches to solving boundary value problems for elliptic differential equations. This method reduces the original problem to that of inverting an operator of the form '1/2+K' on appropriate function spaces on the boundary. If the boundary is smooth, then the double-layer potential operator K is compact; hence, '1/2+K' is Fredholm of index zero. However, if the boundary is non-smooth, the operator K is no longer compact. This book delves into the method of layer potentials on certain domains with singularities from a groupoid perspective. Through a desingularization process and integration of Lie algebroids, we can construct a Lie groupoid that encodes the geometry and singularities of the domain. Subsequently, we can identify the operator K with an invariant family of that Lie groupoid. By applying techniques from C\*-algebras and Lie groupoids, we can establish the Fredholm property of the operator '1/2+K'. 100 pp. Englisch. Seller Inventory # 9786206784555
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A Groupoid Approach to Boundary Value Problems
Published by
LAP LAMBERT Academic Publishing, 2023
ISBN 10: 620678455X
ISBN 13: 9786206784555
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Seller: Books Puddle, Woodside, NY, U.S.A.
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A Groupoid Approach to Boundary Value Problems
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LAP LAMBERT Academic Publishing, 2023
ISBN 10: 620678455X
ISBN 13: 9786206784555
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A Groupoid Approach to Boundary Value Problems
Published by
LAP LAMBERT Academic Publishing, 2023
ISBN 10: 620678455X
ISBN 13: 9786206784555
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Softcover
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A Groupoid Approach to Boundary Value Problems
Published by
LAP LAMBERT Academic Publishing, 2023
ISBN 10: 620678455X
ISBN 13: 9786206784555
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The method of layer potentials is one of the classical approaches to solving boundary value problems for elliptic differential equations. This method reduces the original problem to that of inverting an operator of the form '1/2+K' on appropriate function spaces on the boundary. If the boundary is smooth, then the double-layer potential operator K is compact; hence, '1/2+K' is Fredholm of index zero. However, if the boundary is non-smooth, the operator K is no longer compact. This book delves into the method of layer potentials on certain domains with singularities from a groupoid perspective. Through a desingularization process and integration of Lie algebroids, we can construct a Lie groupoid that encodes the geometry and singularities of the domain. Subsequently, we can identify the operator K with an invariant family of that Lie groupoid. By applying techniques from C\*-algebras and Lie groupoids, we can establish the Fredholm property of the operator '1/2+K'. Seller Inventory # 9786206784555
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A Groupoid Approach to Boundary Value Problems
Published by
LAP LAMBERT Academic Publishing, 2023
ISBN 10: 620678455X
ISBN 13: 9786206784555
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Kartoniert / Broschiert
Seller: moluna, Greven, Germany
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Qiao YuYu Qiao (1980, Xi an, China), completed his undergraduate studies at the University of Science and Technology of China in 2003. He obtained his Ph.D. degree in mathematics under the supervision of Prof. Victor Nistor and Prof. Seller Inventory # 1119316641
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A Groupoid Approach to Boundary Value Problems
Published by
LAP LAMBERT Academic Publishing Sep 2023, 2023
ISBN 10: 620678455X
ISBN 13: 9786206784555
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The method of layer potentials is one of the classical approaches to solving boundary value problems for elliptic differential equations. This method reduces the original problem to that of inverting an operator of the form '1/2+K' on appropriate function spaces on the boundary. If the boundary is smooth, then the double-layer potential operator K is compact; hence, '1/2+K' is Fredholm of index zero. However, if the boundary is non-smooth, the operator K is no longer compact. This book delves into the method of layer potentials on certain domains with singularities from a groupoid perspective. Through a desingularization process and integration of Lie algebroids, we can construct a Lie groupoid that encodes the geometry and singularities of the domain. Subsequently, we can identify the operator K with an invariant family of that Lie groupoid. By applying techniques from C\*-algebras and Lie groupoids, we can establish the Fredholm property of the operator '1/2+K'.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 100 pp. Englisch. Seller Inventory # 9786206784555