MARC Record from harvard_bibliographic_metadata

LEADER: 02889nam a22004575a 4500
001 013839677-9
005 20131206201154.0
008 121227s2004 xxu| s ||0| 0|eng d
020 $a9780817682101
020 $a9780817682101
020 $a9780817637811
024 7 $a10.1007/978-0-8176-8210-1$2doi
035 $a(Springer)9780817682101
040 $aSpringer
050 4 $aQA641-670
072 7 $aPBMP$2bicssc
072 7 $aMAT012030$2bisacsh
082 04 $a516.36$223
100 1 $aEcker, Klaus,$eauthor.
245 10 $aRegularity Theory for Mean Curvature Flow /$cby Klaus Ecker.
264 1 $aBoston, MA :$bBirkhäuser Boston :$bImprint: Birkhäuser,$c2004.
300 $aXIII, 165 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aProgress in Nonlinear Differential Equations and Their Applications ;$v57
505 0 $aPreface -- Introduction -- Special Solutions and Global Behaviour -- Local Estimates via the Maximum Principle -- Integral Estimates and Monotonicity Formulas -- Regularity Theory at the First Singular Time -- A Geometry of Hypersurfaces -- Derivation of the Evolution Equations -- Background on Geometric Measure Theory -- Local Results for Minimal Hypersurfaces -- Remarks on Brakke's Clearing Out Lemma -- Local Monotonicity in Closed Form -- Bibliography -- Index.
520 $aThis work is 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. A major example is Hamilton's Ricci flow program, which has the aim of settling Thurston's geometrization conjecture, with recent major progress due to Perelman. Another important application of a curvature flow process is the resolution of the famous Penrose conjecture in general relativity by Huisken and Ilmanen. Under mean curvature flow, surfaces usually develop singularities in finite time. This work presents techniques for the study of singularities of mean curvature flow and is largely based on the work of K. Brakke, although more recent developments are incorporated.
650 20 $aDifferential equations, Partial.
650 20 $aGeometry, Differential.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aDifferential equations, partial.
650 0 $aGlobal differential geometry.
650 24 $aMeasure and Integration.
650 24 $aTheoretical, Mathematical and Computational Physics.
776 08 $iPrinted edition:$z9780817637811
830 0 $aProgress in Nonlinear Differential Equations and Their Applications ;$v57.
988 $a20131119
906 $0VEN