Elliptic Theory on Singular Manifolds - Vladimir E. Nazaikinskii, Anton Yu. Savin, Bert-Wolfgang Schulze, Boris Yu. Sternin

Elliptic Theory on Singular Manifolds

Buch | Softcover
376 Seiten
2019
Chapman & Hall/CRC (Verlag)
978-0-367-39229-1 (ISBN)
77,30 inkl. MwSt
The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and require completely new mathematical notions and theories. While there has recently been much progress in the field, many of these results have remained scattered in journals and preprints.

Starting from an elementary level and finishing with the most recent results, this book gives a systematic exposition of both analytical and topological aspects of elliptic theory on manifolds with singularities. The presentation includes a review of the main techniques of the theory of elliptic equations, offers a comparative analysis of various approaches to differential equations on manifolds with singularities, and devotes considerable attention to applications of the theory. These include Sobolev problems, theorems of Atiyah-Bott-Lefschetz type, and proofs of index formulas for elliptic operators and problems on manifolds with singularities, including the authors' new solution to the index problem for manifolds with nonisolated singularities.

A glossary, numerous illustrations, and many examples help readers master the subject. Clear exposition, up-to-date coverage, and accessibility-even at the advanced undergraduate level-lay the groundwork for continuing studies and further advances in the field.

Nazaikinskii, Vladimir E.; Savin, Anton Yu.; Schulze, Bert-Wolfgang; Sternin, Boris Yu.

Singular Manifolds and Differential Operators. Analytical Tools. Topological Problems. Applications and Related Topics. Appendices. Biographical Remarks. Bibliography. Index.

Erscheinungsdatum
Reihe/Serie Differential and Integral Equations and Their Applications
Sprache englisch
Maße 178 x 254 mm
Gewicht 453 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Geometrie / Topologie
Naturwissenschaften Physik / Astronomie
ISBN-10 0-367-39229-1 / 0367392291
ISBN-13 978-0-367-39229-1 / 9780367392291
Zustand Neuware
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