{"product_id":"an-introduction-to-viscosity-solutions-for-fully-nonlinear-pde-with-applications-to-calculus-of-variations-in-l8-von-nikos-katzourakis","title":"An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞","description":"The 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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319128283\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783319128283","offer_id":39426184380509,"sku":"9783319128283","price":69.54,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/df8a388e-ef58-46b0-9ff4-2e1bf13cec2f.jpg?v=1772170229","url":"https:\/\/shop.autorenwelt.de\/products\/an-introduction-to-viscosity-solutions-for-fully-nonlinear-pde-with-applications-to-calculus-of-variations-in-l8-von-nikos-katzourakis","provider":"Autorenwelt Shop","version":"1.0","type":"link"}