{"product_id":"9783319128283","title":"SpringerBriefs in Mathematics","description":"\u003ch1\u003eSpringerBriefs in Mathematics\u003c\/h1\u003e \u003ch2\u003eKatzourakis, Nikos\u003c\/h2\u003e \u003cp\u003eThe purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE). For such equations, particularly for 2nd order ones, solutions generally are non-smooth and standard approaches in order to define a \"weak solution\" do not apply: classical, strong almost everywhere, weak, measure-valued and distributional solutions either do not exist or may not even be defined. The main reason for the latter failure is that, the standard idea of using \"integration-by-parts\" in order to pass derivatives to smooth test functions by duality, is not available for non-divergence structure PDE.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2014-12-10\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319128283\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-12829-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 123\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45548565463180,"sku":"9783319128283","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319128283.jpg?v=1775785797","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319128283","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}