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008 150903s2006 sz | o |||| 0|eng d
020 _a9783764373917
_99783764373917
024 7 _a10.1007/3764373911
_2doi
035 _avtls000362727
039 9 _a201509030400
_bVLOAD
_c201404121555
_dVLOAD
_c201404091332
_dVLOAD
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_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA370-380
100 1 _aGiga, Yoshikazu.
_eautor
_9306194
245 1 0 _aSurface Evolution Equations :
_bA Level Set Approach /
_cby Yoshikazu Giga.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2006.
300 _axii, 264 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 _aMonographs in Mathematics ;
_v99
500 _aSpringer eBooks
505 0 _aSurface evolution equations -- Viscosity solutions -- Comparison principle -- Classical level set method -- Set-theoretic approach.
520 _aThis book presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations including curvature flow equations. These equations are important in many applications, such as material sciences, image processing and differential geometry. The goal is to introduce a generalized notion of solutions allowing singularities, and to solve the initial-value problem globally-in-time in a generalized sense. Various equivalent definitions of solutions are studied. Several new results on equivalence are also presented. Moreover, structures of level set equations are studied in detail. Further, a rather complete introduction to the theory of viscosity solutions is contained, which is a key tool for the level set approach. Although most of the results in this book are more or less known, they are scattered in several references, sometimes without proofs. This book presents these results in a synthetic way with full proofs. The intended audience are graduate students and researchers in various disciplines who would like to know the applicability and detail of the theory as well as its flavour. No familiarity with differential geometry or the theory of viscosity solutions is required. Only prerequisites are calculus, linear algebra and some basic knowledge about semicontinuous functions.
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:
_z9783764324308
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/3-7643-7391-1
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c310134
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