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Differential operators and boundary value problems on hypersurfaces

โœ Scribed by L. Roland Duduchava; Dorina Mitrea; Marius Mitrea

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
303 KB
Volume
279
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Abstract

We explore the extent to which basic differential operators (such as Laplaceโ€“Beltrami, Lamรฉ, Navierโ€“Stokes, etc.) and boundary value problems on a hypersurface ๐’ฎ in โ„^n^ can be expressed globally, in terms of the standard spatial coordinates in โ„^n^ . The approach we develop also provides, in some important cases, useful simplifications as well as new interpretations of classical operators and equations. (ยฉ 2006 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)

๐Ÿ“œ SIMILAR VOLUMES

An Initial Boundary Value Problem for Pa
An Initial Boundary Value Problem for Parabolic Differential-Operator Equations
โœ Sasun Yakubov ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 143 KB

In this paper we give, for the first time, an abstract interpretation of such initial boundary value problems for parabolic equations that a part of boundary value conditions contains also a differentiation on the time t. Initial boundary value problems for parabolic equations are reduced to the Cau