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001 978-3-031-13238-4
003 DE-He213
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008 230224s2023 sz | s |||| 0|eng d
020 _a9783031132384
_9978-3-031-13238-4
024 7 _a10.1007/978-3-031-13238-4
_2doi
050 4 _aQA402.5-402.6
050 4 _aQA315-316
072 7 _aPBU
_2bicssc
072 7 _aMAT042000
_2bisacsh
072 7 _aPBU
_2thema
082 0 4 _a519.6
_223
082 0 4 _a515.64
_223
100 1 _aVelichkov, Bozhidar.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aRegularity of the One-phase Free Boundaries
_h[electronic resource] /
_cby Bozhidar Velichkov.
250 _a1st ed. 2023.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2023.
300 _aXIII, 247 p. 1 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes of the Unione Matematica Italiana,
_x1862-9121 ;
_v28
506 0 _aOpen Access
520 _aThis open access book is an introduction to the regularity theory for free boundary problems. The focus is on the one-phase Bernoulli problem, which is of particular interest as it deeply influenced the development of the modern free boundary regularity theory and is still an object of intensive research. The exposition is organized around four main theorems, which are dedicated to the one-phase functional in its simplest form. Many of the methods and the techniques presented here are very recent and were developed in the context of different free boundary problems. We also give the detailed proofs of several classical results, which are based on some universal ideas and are recurrent in the free boundary, PDE and the geometric regularity theories. This book is aimed at graduate students and researches and is accessible to anyone with a moderate level of knowledge of elliptical PDEs.
650 0 _aMathematical optimization.
650 0 _aCalculus of variations.
650 0 _aDifferential equations.
650 1 4 _aCalculus of Variations and Optimization.
650 2 4 _aDifferential Equations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031132377
776 0 8 _iPrinted edition:
_z9783031132391
830 0 _aLecture Notes of the Unione Matematica Italiana,
_x1862-9121 ;
_v28
856 4 0 _uhttps://doi.org/10.1007/978-3-031-13238-4
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-SOB
999 _c37770
_d37770