An Introduction to Partial Differential Equations [electronic resource] /
Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.
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Format: | Texto biblioteca |
Language: | eng |
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New York, NY : Springer New York,
2004
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Subjects: | Mathematics., Partial differential equations., Applied mathematics., Engineering mathematics., Physics., Partial Differential Equations., Applications of Mathematics., Mathematical Methods in Physics., Appl.Mathematics/Computational Methods of Engineering., |
Online Access: | http://dx.doi.org/10.1007/b97427 |
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KOHA-OAI-TEST:2214032018-07-30T23:59:21ZAn Introduction to Partial Differential Equations [electronic resource] / Renardy, Michael. author. Rogers, Robert C. author. SpringerLink (Online service) textNew York, NY : Springer New York,2004.eng Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.Characteristics -- Conservation Laws and Shocks -- Maximum Principles -- Distributions -- Function Spaces -- Sobolev Spaces -- Operator Theory -- Linear Elliptic Equations -- Nonlinear Elliptic Equations -- Energy Methods for Evolution Problems -- Semigroup Methods. Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.Mathematics.Partial differential equations.Applied mathematics.Engineering mathematics.Physics.Mathematics.Partial Differential Equations.Applications of Mathematics.Mathematical Methods in Physics.Appl.Mathematics/Computational Methods of Engineering.Springer eBookshttp://dx.doi.org/10.1007/b97427URN:ISBN:9780387216874 |
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Mathematics. Partial differential equations. Applied mathematics. Engineering mathematics. Physics. Mathematics. Partial Differential Equations. Applications of Mathematics. Mathematical Methods in Physics. Appl.Mathematics/Computational Methods of Engineering. Mathematics. Partial differential equations. Applied mathematics. Engineering mathematics. Physics. Mathematics. Partial Differential Equations. Applications of Mathematics. Mathematical Methods in Physics. Appl.Mathematics/Computational Methods of Engineering. |
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Mathematics. Partial differential equations. Applied mathematics. Engineering mathematics. Physics. Mathematics. Partial Differential Equations. Applications of Mathematics. Mathematical Methods in Physics. Appl.Mathematics/Computational Methods of Engineering. Mathematics. Partial differential equations. Applied mathematics. Engineering mathematics. Physics. Mathematics. Partial Differential Equations. Applications of Mathematics. Mathematical Methods in Physics. Appl.Mathematics/Computational Methods of Engineering. Renardy, Michael. author. Rogers, Robert C. author. SpringerLink (Online service) An Introduction to Partial Differential Equations [electronic resource] / |
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Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded. |
format |
Texto |
topic_facet |
Mathematics. Partial differential equations. Applied mathematics. Engineering mathematics. Physics. Mathematics. Partial Differential Equations. Applications of Mathematics. Mathematical Methods in Physics. Appl.Mathematics/Computational Methods of Engineering. |
author |
Renardy, Michael. author. Rogers, Robert C. author. SpringerLink (Online service) |
author_facet |
Renardy, Michael. author. Rogers, Robert C. author. SpringerLink (Online service) |
author_sort |
Renardy, Michael. author. |
title |
An Introduction to Partial Differential Equations [electronic resource] / |
title_short |
An Introduction to Partial Differential Equations [electronic resource] / |
title_full |
An Introduction to Partial Differential Equations [electronic resource] / |
title_fullStr |
An Introduction to Partial Differential Equations [electronic resource] / |
title_full_unstemmed |
An Introduction to Partial Differential Equations [electronic resource] / |
title_sort |
introduction to partial differential equations [electronic resource] / |
publisher |
New York, NY : Springer New York, |
publishDate |
2004 |
url |
http://dx.doi.org/10.1007/b97427 |
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