Regularity theory for mean curvature flow

著者

• Ecker, Klaus

書誌事項

Regularity theory for mean curvature flow

Klaus Ecker

（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 57）

Birkhäuser, c2004

• : hardcover
• : softcover

注記

Includes bibliographical references and index

内容説明・目次

内容説明

* Devoted to the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat flow process is called mean curvature flow. * Mean curvature flow and related geometric evolution equations are important tools in mathematics and mathematical physics.

目次

1 Introduction.- 2 Special Solutions and Global Behaviour.- 3 Local Estimates via the Maximum Principle.- 4 Integral Estimates and Monotonicity Formulas.- 5 Regularity Theory at the First Singular Time.- A Geometry of Hypersurfaces.- B Derivation of the Evolution Equations.- C Background on Geometric Measure Theory.- D Local Results for Minimal Hypersurfaces.- E Remarks on Brakke!-s Clearing Out Lemma.- F Local Monotonicity in Closed Form.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA65780474
• ISBN:
  • 0817632433
  • 0817637818
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Boston
• ページ数/冊数: xi, 165 p.
• 大きさ: 24 cm
• 親書誌ID:
  • BA07303999