دانلود کتاب An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞

Name: An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞
Availability: InStock
Author: Nikos Katzourakis (auth.)
ISBN: 9783319128283, 9783319128290

by Nikos Katzourakis (auth.)

عنوان فارسی: مقدمه به ویسکوزیته راه حل برای کاملا غیر خطی PDE با نرم افزار به حساب تغییرات در L∞
ناشر: Springer International Publishing
سال: 2015
ویرایش: 1
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 123
شابک: 9783319128283, 9783319128290
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 4.00 مگابایت

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جزییات کتاب

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.

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