{"product_id":"elliptic-regularity-theory-von-lisa-beck","title":"Elliptic Regularity Theory","description":"\n                                \n                \u003cp\u003eThese lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size of the singular set on which discontinuities may occur.\u003c\/p\u003e\n                                  \n                \n                \u003cp\u003eThe notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics.\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319274843\"\u003e\u003ch3\u003eA First Course\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783319274843","offer_id":39961281626205,"sku":"9783319274843","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/89ba6ba2-c17e-4b91-85e7-9b376ff5d1c6.jpg?v=1772171039","url":"https:\/\/shop.autorenwelt.de\/en\/products\/elliptic-regularity-theory-von-lisa-beck","provider":"Autorenwelt Shop","version":"1.0","type":"link"}