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020 _a9783034801454
_99783034801454
024 7 _a10.1007/9783034801454
_2doi
035 _avtls000345263
039 9 _a201509030346
_bVLOAD
_c201405050318
_dVLOAD
_y201402061332
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA299.6-433
100 1 _aMantegazza, Carlo.
_eautor
_9324727
245 1 0 _aLecture Notes on Mean Curvature Flow /
_cby Carlo Mantegazza.
264 1 _aBasel :
_bSpringer Basel,
_c2011.
300 _axii, 168 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aProgress in Mathematics ;
_v290
500 _aSpringer eBooks
505 0 _aForeword -- Chapter 1. Definition and Short Time Existence -- Chapter 2. Evolution of Geometric Quantities -- Chapter 3. Monotonicity Formula and Type I Singularities -- Chapter 4. Type II Singularities -- Chapter 5. Conclusions and Research Directions -- Appendix A. Quasilinear Parabolic Equations on Manifolds -- Appendix B. Interior Estimates of Ecker and Huisken -- Appendix C. Hamilton’s Maximum Principle for Tensors -- Appendix D. Hamilton’s Matrix Li–Yau–Harnack Inequality in Rn -- Appendix E. Abresch and Langer Classification of Homothetically Shrinking Closed Curves -- Appendix F. Important Results without Proof in the Book -- Bibliography -- Index.
520 _aThis book is an introduction to the subject of mean curvature flow of hypersurfaces with special emphasis on the analysis of singularities. This flow occurs in the description of the evolution of numerous physical models where the energy is given by the area of the interfaces. These notes provide a detailed discussion of the classical parametric approach (mainly developed by R. Hamilton and G. Huisken). They are well suited for a course at PhD/PostDoc level and can be useful for any researcher interested in a solid introduction to the technical issues of the field. All the proofs are carefully written, often simplified, and contain several comments. Moreover, the author revisited and organized a large amount of material scattered around in literature in the last 25 years.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783034801447
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-0348-0145-4
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c292732
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