| 期刊全稱 | An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Vari | | 影響因子2023 | Nikos Katzourakis | | 視頻video | http://file.papertrans.cn/156/155114/155114.mp4 | | 發(fā)行地址 | Serves as a suitable first reading on the theory of Viscosity Solutions.Offers an elementary overview of the topic being specifically addressed to students and non-experts.Can be used for a post-gradu | | 學(xué)科分類 | SpringerBriefs in Mathematics | | 圖書封面 |  | | 影響因子 | 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. | | Pindex | Book 2015 |
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