Spaces and singular perturbations on manifolds without boundary
Singular perturbations, one of the central topics in asymptotic analysis, also play a special role in describing physical phenomena such as the propagation of waves in media in the presence of small energy dissipations or dispersions, the appearance of boundary or interior layers in fluid and gas dy...
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Format: | eBook |
Language: | English |
Published: |
Amsterdam
North-Holland
1990, 1990
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Series: | Singular perturbations
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Online Access: | |
Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
Summary: | Singular perturbations, one of the central topics in asymptotic analysis, also play a special role in describing physical phenomena such as the propagation of waves in media in the presence of small energy dissipations or dispersions, the appearance of boundary or interior layers in fluid and gas dynamics, as well as in elasticity theory, semi-classical asymptotic approximations in quantum mechanics etc. Elliptic and coercive singular perturbations are of special interest for the asymptotic solution of problems which are characterized by boundary layer phenomena, e.g. the theory of thin buckling plates, elastic rods and beams. This first volume deals with linear singular perturbations (on smooth manifolds without boundary) considered as equicontinuous linear mappings between corresponding families of Sobolev-Slobodetski's type spaces of vectorial order |
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Physical Description: | xxiv, 555 pages |
ISBN: | 9780444881342 9780080875446 0444881344 |