Double-layer potentials may be used in order to construct strong solutions of the Stokes system on Lipschitz bounded domains, under Dirichlet boundary conditions. It is kwown that such an approach works in an L?-framework. This book deals with the question whether it is possible to derive a corresponding Lp-theory for p = 2. To this end, a special Lipschitz domain is chosen, namely a right circular infinite cone. Then the space of all p-integrable functions on the surface of this cone is considered. Two kinds of double ...
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Double-layer potentials may be used in order to construct strong solutions of the Stokes system on Lipschitz bounded domains, under Dirichlet boundary conditions. It is kwown that such an approach works in an L?-framework. This book deals with the question whether it is possible to derive a corresponding Lp-theory for p = 2. To this end, a special Lipschitz domain is chosen, namely a right circular infinite cone. Then the space of all p-integrable functions on the surface of this cone is considered. Two kinds of double-layer potentials are introduced on this space, one related to the Stokes system, the other one to the Stokes system with resolvent term. It is studied how the Fredholm properties of these potentials depend on p, on the vertex angle of the cone, and - in the second case - on the resolvent parameter. The proof of the corresponding results is worked out in detail so that the book should be accessible not only for scientists working in the field, but also for graduate students.
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Add this copy of The Stokes System in an Infinite Cone (Mathematical to cart. $33.75, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1994 by Wiley-VCH.
Add this copy of The Stokes System in an Infinite Cone (Mathematical to cart. $70.49, very good condition, Sold by Alien Bindings rated 5.0 out of 5 stars, ships from BALTIMORE, MD, UNITED STATES, published 1994 by Alademie Verlag.
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Seller's Description:
The Stokes System in an Infinite Cone (Volume 78 of Mathematical Research) by Paul Deuring. Rare softcover First Edition in stiff light blue textured wraps with white lettering. Very Good condition. The covers are in great shape with light surface wear. The binding is square and tight. Minor abrasion to the half-title page. The interior pages are clean, bright, and unmarked. Double-layer potentials are explored as a method for constructing strong solutions to the Stokes system on Lipschitz-bounded domains under Dirichlet boundary conditions, focusing on extending the existing Lē-framework to an Lp-theory for p? 2. The study examines these potentials in the context of a right circular infinite cone, analyzing their Fredholm properties based on parameters such as p, the cone's vertex angle, and, for the resolvent term case, the resolvent parameter. Detailed proofs make the book accessible to researchers and graduate students alike. The book will be carefully packaged for shipment for protection from the elements. USPS electronic tracking number issued free of charge. Feel free to contact us for more information or pictures regarding the book. 268 pages. Mathematical Research.
