A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations (Compact Textbooks in Mathematics) free ebook download.

Home : Book details

A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations (Compact Textbooks in Mathematics) free ebook download

Category:
Mathematics

Views: 453
Likes: 7

Catalogue

Author(s):	Mi-Ho Giga

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	3031347951
Pages:	165	OCR:		Quality:		ISBN13:
Uploader:	risotor	Upload Date:	10/28/2023 9:54:12 AM

To download click on link in the Links Table below

Description: Click to see full description

This book addresses the issue of uniqueness of a solution to a problem  a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon.
This book is intended to be a short introduction to uniqueness questions for initial value problems. One often weakens the notion of a solution to include non-differentiable solutions. Such a solution is called a weak solution. It is easier to find a weak solution, but it is more difficult to establish its uniqueness. This book examines three very fundamental equations: ordinary differential equations, scalar conservation laws, and Hamilton-Jacobi equations. Starting from the standard Gronwall inequality, this book discusses less regular ordinary differential equations. It includes an introduction of advanced topics like the theory of maximal monotone operators as well as what is called DiPerna-Lions theory, which is still an active research area. For conservation laws, the uniqueness of entropy solution, a special (discontinuous) weak solution is explained. For Hamilton-Jacobi equations, several uniqueness results are established for a viscosity solution, a kind of a non-differentiable weak solution. The uniqueness of discontinuous viscosity solution is also discussed. A detailed proof is given for each uniqueness statement.
Read more

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3208029	Book	https://rapidgator.net/file/5f08fad44f0c...		0.00	risotor

Tags: Basic Compact Differential Equations Evolutionary Guide Mathematics Problems Textbooks Uniqueness

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:

Comments

New comment: